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Simplifying -8(1 + -6m) = 10(4m + -12) (1 * -8 + -6m * -8) = 10(4m + -12) (-8 + 48m) = 10(4m + -12) Reorder the terms: -8 + 48m = 10(-12 + 4m) -8 + 48m = (-12 * 10 + 4m * 10) -8 + 48m = (-120 + 40m) Solving -8 + 48m = -120 + 40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40m' to each side of the equation. -8 + 48m + -40m = -120 + 40m + -40m Combine like terms: 48m + -40m = 8m -8 + 8m = -120 + 40m + -40m Combine like terms: 40m + -40m = 0 -8 + 8m = -120 + 0 -8 + 8m = -120 Add '8' to each side of the equation. -8 + 8 + 8m = -120 + 8 Combine like terms: -8 + 8 = 0 0 + 8m = -120 + 8 8m = -120 + 8 Combine like terms: -120 + 8 = -112 8m = -112 Divide each side by '8'. m = -14 Simplifying m = -14
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