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Simplifying -4[3m + 5] = -2[m + -2] Reorder the terms: -4[5 + 3m] = -2[m + -2] [5 * -4 + 3m * -4] = -2[m + -2] [-20 + -12m] = -2[m + -2] Reorder the terms: -20 + -12m = -2[-2 + m] -20 + -12m = [-2 * -2 + m * -2] -20 + -12m = [4 + -2m] Solving -20 + -12m = 4 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -20 + -12m + 2m = 4 + -2m + 2m Combine like terms: -12m + 2m = -10m -20 + -10m = 4 + -2m + 2m Combine like terms: -2m + 2m = 0 -20 + -10m = 4 + 0 -20 + -10m = 4 Add '20' to each side of the equation. -20 + 20 + -10m = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -10m = 4 + 20 -10m = 4 + 20 Combine like terms: 4 + 20 = 24 -10m = 24 Divide each side by '-10'. m = -2.4 Simplifying m = -2.4
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