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Simplifying -4(m + -6) = 8(-6 + -2m) Reorder the terms: -4(-6 + m) = 8(-6 + -2m) (-6 * -4 + m * -4) = 8(-6 + -2m) (24 + -4m) = 8(-6 + -2m) 24 + -4m = (-6 * 8 + -2m * 8) 24 + -4m = (-48 + -16m) Solving 24 + -4m = -48 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 24 + -4m + 16m = -48 + -16m + 16m Combine like terms: -4m + 16m = 12m 24 + 12m = -48 + -16m + 16m Combine like terms: -16m + 16m = 0 24 + 12m = -48 + 0 24 + 12m = -48 Add '-24' to each side of the equation. 24 + -24 + 12m = -48 + -24 Combine like terms: 24 + -24 = 0 0 + 12m = -48 + -24 12m = -48 + -24 Combine like terms: -48 + -24 = -72 12m = -72 Divide each side by '12'. m = -6 Simplifying m = -6
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