Solving Linear Equation “0.36(100𝑛+5) = 0.6(30𝑛+15)” | Step-by-Step Algebra Solution - Math Doodle

This video will guide you through [How to Solve Linear Equation “0.36(100𝑛 + 5) = 0.6(30𝑛 + 15)” Using a General Strategy].

📌 General Strategy to Solve Linear Equations
✓ Step 1. Simplify each side of the equation as much as possible.
- Use the Distributive Property to remove any parentheses.
- Combine like terms.
✓ Step 2. Collect all the variable terms on one side of the equation.
- Use the Addition or Subtraction Property of Equality.
✓ Step 3. Collect all the constant terms on the other side of the equation.
- Use the Addition or Subtraction Property of Equality.
✓ Step 4. Make the coefficient of the variable term to equal to 1.
- Use the Multiplication or Division Property of Equality.
- State the solution to the equation.
✓ Step 5. Check the solution.
- Substitute the solution into the original equation to make sure the result is a true statement.

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🌏 Translated titles and subtitles have been added to this video:
Spanish: Resolviendo “0.36(100n + 5) = 0.6(30n + 15)" [Usando una estrategia general - Ecuación lineal] | Solución de álgebra paso a paso
French: Résoudre "0.36(100n + 5) = 0.6(30n + 15)" [Utilisation d'une stratégie générale - Équation linéaire] | Solution d'algèbre étape par étape
German: „0.36(100n + 5) = 0.6(30n + 15)“ lösen [mit einer allgemeinen Strategie – lineare Gleichung] | Schritt-für-Schritt-Algebra-Lösung
Portuguese: Resolvendo "0.36(100n + 5) = 0.6(30n + 15)" [Usando uma estratégia geral - Equação linear] | Solução de álgebra passo a passo
Hindi: हल करना “0.36(100n + 5) = 0.6(30n + 15)” [एक सामान्य रणनीति का उपयोग करना - रैखिक समीकरण] | चरण-दर-चरण बीजगणित समाधान
Filipino: Paglutas ng “0.36(100n + 5) = 0.6(30n + 15)" [Paggamit ng Pangkalahatang Diskarte - Linear Equation] | Step-by-Step na Algebra Solution
Indonesian: Memecahkan “0.36(100n + 5) = 0.6(30n + 15)" [Menggunakan Strategi Umum - Persamaan Linier] | Solusi Aljabar Langkah-demi-Langkah
Japanese: 「0.36(100n + 5) = 0.6(30n + 15)」を解く [一般的な戦略の使用 - 線形方程式] | ステップバイステップの代数の解法
Russian: Решение «0.36(100n + 5) = 0.6(30n + 15)» [Использование общей стратегии - линейное уравнение] | Пошаговое решение по алгебре
Vietnamese: Giải “0.36(100n + 5) = 0.6(30n + 15)" [Sử dụng chiến lược tổng quát - Phương trình tuyến tính] | Giải pháp đại số từng bước