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Simplifying -4(3 + 5m) + 2m = -6m + 24 (3 * -4 + 5m * -4) + 2m = -6m + 24 (-12 + -20m) + 2m = -6m + 24 Combine like terms: -20m + 2m = -18m -12 + -18m = -6m + 24 Reorder the terms: -12 + -18m = 24 + -6m Solving -12 + -18m = 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. -12 + -18m + 6m = 24 + -6m + 6m Combine like terms: -18m + 6m = -12m -12 + -12m = 24 + -6m + 6m Combine like terms: -6m + 6m = 0 -12 + -12m = 24 + 0 -12 + -12m = 24 Add '12' to each side of the equation. -12 + 12 + -12m = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -12m = 24 + 12 -12m = 24 + 12 Combine like terms: 24 + 12 = 36 -12m = 36 Divide each side by '-12'. m = -3 Simplifying m = -3
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