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Simplifying -3(m + -4) + 2m = 15(m + 4) Reorder the terms: -3(-4 + m) + 2m = 15(m + 4) (-4 * -3 + m * -3) + 2m = 15(m + 4) (12 + -3m) + 2m = 15(m + 4) Combine like terms: -3m + 2m = -1m 12 + -1m = 15(m + 4) Reorder the terms: 12 + -1m = 15(4 + m) 12 + -1m = (4 * 15 + m * 15) 12 + -1m = (60 + 15m) Solving 12 + -1m = 60 + 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. 12 + -1m + -15m = 60 + 15m + -15m Combine like terms: -1m + -15m = -16m 12 + -16m = 60 + 15m + -15m Combine like terms: 15m + -15m = 0 12 + -16m = 60 + 0 12 + -16m = 60 Add '-12' to each side of the equation. 12 + -12 + -16m = 60 + -12 Combine like terms: 12 + -12 = 0 0 + -16m = 60 + -12 -16m = 60 + -12 Combine like terms: 60 + -12 = 48 -16m = 48 Divide each side by '-16'. m = -3 Simplifying m = -3
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