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Simplifying -4(6 + -2m) = 8 + -8(-2 + m) (6 * -4 + -2m * -4) = 8 + -8(-2 + m) (-24 + 8m) = 8 + -8(-2 + m) -24 + 8m = 8 + (-2 * -8 + m * -8) -24 + 8m = 8 + (16 + -8m) Combine like terms: 8 + 16 = 24 -24 + 8m = 24 + -8m Solving -24 + 8m = 24 + -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. -24 + 8m + 8m = 24 + -8m + 8m Combine like terms: 8m + 8m = 16m -24 + 16m = 24 + -8m + 8m Combine like terms: -8m + 8m = 0 -24 + 16m = 24 + 0 -24 + 16m = 24 Add '24' to each side of the equation. -24 + 24 + 16m = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 16m = 24 + 24 16m = 24 + 24 Combine like terms: 24 + 24 = 48 16m = 48 Divide each side by '16'. m = 3 Simplifying m = 3
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