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Simplifying 6(m + 2) + -5(2m + -12) = 8m Reorder the terms: 6(2 + m) + -5(2m + -12) = 8m (2 * 6 + m * 6) + -5(2m + -12) = 8m (12 + 6m) + -5(2m + -12) = 8m Reorder the terms: 12 + 6m + -5(-12 + 2m) = 8m 12 + 6m + (-12 * -5 + 2m * -5) = 8m 12 + 6m + (60 + -10m) = 8m Reorder the terms: 12 + 60 + 6m + -10m = 8m Combine like terms: 12 + 60 = 72 72 + 6m + -10m = 8m Combine like terms: 6m + -10m = -4m 72 + -4m = 8m Solving 72 + -4m = 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. 72 + -4m + -8m = 8m + -8m Combine like terms: -4m + -8m = -12m 72 + -12m = 8m + -8m Combine like terms: 8m + -8m = 0 72 + -12m = 0 Add '-72' to each side of the equation. 72 + -72 + -12m = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -12m = 0 + -72 -12m = 0 + -72 Combine like terms: 0 + -72 = -72 -12m = -72 Divide each side by '-12'. m = 6 Simplifying m = 6
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