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Simplifying -1(8m + 4) = 4 + -2(6m + 2) Reorder the terms: -1(4 + 8m) = 4 + -2(6m + 2) (4 * -1 + 8m * -1) = 4 + -2(6m + 2) (-4 + -8m) = 4 + -2(6m + 2) Reorder the terms: -4 + -8m = 4 + -2(2 + 6m) -4 + -8m = 4 + (2 * -2 + 6m * -2) -4 + -8m = 4 + (-4 + -12m) Combine like terms: 4 + -4 = 0 -4 + -8m = 0 + -12m -4 + -8m = -12m Solving -4 + -8m = -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -4 + -8m + 12m = -12m + 12m Combine like terms: -8m + 12m = 4m -4 + 4m = -12m + 12m Combine like terms: -12m + 12m = 0 -4 + 4m = 0 Add '4' to each side of the equation. -4 + 4 + 4m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4m = 0 + 4 4m = 0 + 4 Combine like terms: 0 + 4 = 4 4m = 4 Divide each side by '4'. m = 1 Simplifying m = 1
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