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Master the art of solving multi-step equations with our detailed guide. Learn step-by-step methods for using addition, subtraction, multiplication, and division to find solutions. Discover how to handle equations with variables on both sides, grouping symbols, and identify cases with no solutions or identities. Each section includes examples and checks to ensure accuracy. Perfect for students looking to strengthen their algebra skills, this guide will equip you with the tools needed for tackling complex equations with confidence.
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Solve Using Addition and Division Solve 5q –13 = 37. Check your solution.
Write and Solve a Multi-Step Equation Original equation
Solve an Equation with Variables on Each Side Solve 8 + 5s = 7s – 2. Check your solution.
No Solutions or Identity A. Solve 8(5c – 2) = 10(32 + 4c).
B. Solve . No Solutions or Identity
(over Lesson 2-4) Solve –32 = 7n – 4.
Inequality Involving a Negative Coefficient Solve 13 – 11d≥ 79.
Distributive Property A. Solve 3(–2x + 4) > –12.
Distributive Property B. Solve 6c + 3(2 – c) ≥–2c + 1.
Empty Set and All Reals A. Solve –7(s + 4) + 11s ≥ 8s – 2(2s + 1).
Empty Set and All Reals B. Solve 4d – 3 > 2d + 3(d + 3) – (d + 12).
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