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Simplifying 15m + -1(4m + -12) = 3(12 + m) Reorder the terms: 15m + -1(-12 + 4m) = 3(12 + m) 15m + (-12 * -1 + 4m * -1) = 3(12 + m) 15m + (12 + -4m) = 3(12 + m) Reorder the terms: 12 + 15m + -4m = 3(12 + m) Combine like terms: 15m + -4m = 11m 12 + 11m = 3(12 + m) 12 + 11m = (12 * 3 + m * 3) 12 + 11m = (36 + 3m) Solving 12 + 11m = 36 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 12 + 11m + -3m = 36 + 3m + -3m Combine like terms: 11m + -3m = 8m 12 + 8m = 36 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + 8m = 36 + 0 12 + 8m = 36 Add '-12' to each side of the equation. 12 + -12 + 8m = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 8m = 36 + -12 8m = 36 + -12 Combine like terms: 36 + -12 = 24 8m = 24 Divide each side by '8'. m = 3 Simplifying m = 3
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