## Algebra 1

Published by Prentice Hall

# Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises - Page 106: 24

g = 1

#### Work Step by Step

(g + 4) - 3g = 1 + g To get the variable (g) on one side of the equation, add 3g to both sides of the equation. (g + 4) - 3g + 3g = 1 + g + 3g Simplify and combine like terms. g + 4 = 1 + 4g Subtract g from both sides of the equation to eliminate g from the left side of the equation. g + 4 - g = 1 + 4g - g 4 = 1 + 3g Subtract 1 from both sides of the equation. 4 - 1 = 1 + 3g - 1 Simplify to get: 3 = 3g Divide both sides by 3: $\frac{3}{3}$ = $\frac{3g}{3}$ 1 = g Check: To check whether 1 is the correct answer, replace g with 1 in the original equation and solve. (g + 4) - 3g = 1 + g (1 + 4) - 3(1) = 1 + 1 5 - 3 = 1 + 1 2 = 2

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