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Simplifying 52 = 4 + 3(3m + 4) Reorder the terms: 52 = 4 + 3(4 + 3m) 52 = 4 + (4 * 3 + 3m * 3) 52 = 4 + (12 + 9m) Combine like terms: 4 + 12 = 16 52 = 16 + 9m Solving 52 = 16 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 52 + -9m = 16 + 9m + -9m Combine like terms: 9m + -9m = 0 52 + -9m = 16 + 0 52 + -9m = 16 Add '-52' to each side of the equation. 52 + -52 + -9m = 16 + -52 Combine like terms: 52 + -52 = 0 0 + -9m = 16 + -52 -9m = 16 + -52 Combine like terms: 16 + -52 = -36 -9m = -36 Divide each side by '-9'. m = 4 Simplifying m = 4
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