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Simplifying -2(m + 2) = 6(-1m + -4) Reorder the terms: -2(2 + m) = 6(-1m + -4) (2 * -2 + m * -2) = 6(-1m + -4) (-4 + -2m) = 6(-1m + -4) Reorder the terms: -4 + -2m = 6(-4 + -1m) -4 + -2m = (-4 * 6 + -1m * 6) -4 + -2m = (-24 + -6m) Solving -4 + -2m = -24 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -4 + -2m + 6m = -24 + -6m + 6m Combine like terms: -2m + 6m = 4m -4 + 4m = -24 + -6m + 6m Combine like terms: -6m + 6m = 0 -4 + 4m = -24 + 0 -4 + 4m = -24 Add '4' to each side of the equation. -4 + 4 + 4m = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 4m = -24 + 4 4m = -24 + 4 Combine like terms: -24 + 4 = -20 4m = -20 Divide each side by '4'. m = -5 Simplifying m = -5
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