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Simplifying -32 + 8m = -5(-4m + -8) Reorder the terms: -32 + 8m = -5(-8 + -4m) -32 + 8m = (-8 * -5 + -4m * -5) -32 + 8m = (40 + 20m) Solving -32 + 8m = 40 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -32 + 8m + -20m = 40 + 20m + -20m Combine like terms: 8m + -20m = -12m -32 + -12m = 40 + 20m + -20m Combine like terms: 20m + -20m = 0 -32 + -12m = 40 + 0 -32 + -12m = 40 Add '32' to each side of the equation. -32 + 32 + -12m = 40 + 32 Combine like terms: -32 + 32 = 0 0 + -12m = 40 + 32 -12m = 40 + 32 Combine like terms: 40 + 32 = 72 -12m = 72 Divide each side by '-12'. m = -6 Simplifying m = -6
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