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Simplifying -3(4 + -1m) = 2(4m + -14) (4 * -3 + -1m * -3) = 2(4m + -14) (-12 + 3m) = 2(4m + -14) Reorder the terms: -12 + 3m = 2(-14 + 4m) -12 + 3m = (-14 * 2 + 4m * 2) -12 + 3m = (-28 + 8m) Solving -12 + 3m = -28 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -12 + 3m + -8m = -28 + 8m + -8m Combine like terms: 3m + -8m = -5m -12 + -5m = -28 + 8m + -8m Combine like terms: 8m + -8m = 0 -12 + -5m = -28 + 0 -12 + -5m = -28 Add '12' to each side of the equation. -12 + 12 + -5m = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -5m = -28 + 12 -5m = -28 + 12 Combine like terms: -28 + 12 = -16 -5m = -16 Divide each side by '-5'. m = 3.2 Simplifying m = 3.2
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