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Simplifying 3(1 + -5m) = -32 + -8m (1 * 3 + -5m * 3) = -32 + -8m (3 + -15m) = -32 + -8m Solving 3 + -15m = -32 + -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. 3 + -15m + 8m = -32 + -8m + 8m Combine like terms: -15m + 8m = -7m 3 + -7m = -32 + -8m + 8m Combine like terms: -8m + 8m = 0 3 + -7m = -32 + 0 3 + -7m = -32 Add '-3' to each side of the equation. 3 + -3 + -7m = -32 + -3 Combine like terms: 3 + -3 = 0 0 + -7m = -32 + -3 -7m = -32 + -3 Combine like terms: -32 + -3 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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