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Simplifying 2m + 3 = 3(5m + -12) Reorder the terms: 3 + 2m = 3(5m + -12) Reorder the terms: 3 + 2m = 3(-12 + 5m) 3 + 2m = (-12 * 3 + 5m * 3) 3 + 2m = (-36 + 15m) Solving 3 + 2m = -36 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 3 + 2m + -15m = -36 + 15m + -15m Combine like terms: 2m + -15m = -13m 3 + -13m = -36 + 15m + -15m Combine like terms: 15m + -15m = 0 3 + -13m = -36 + 0 3 + -13m = -36 Add '-3' to each side of the equation. 3 + -3 + -13m = -36 + -3 Combine like terms: 3 + -3 = 0 0 + -13m = -36 + -3 -13m = -36 + -3 Combine like terms: -36 + -3 = -39 -13m = -39 Divide each side by '-13'. m = 3 Simplifying m = 3
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