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Simplifying 32 + 4m = -3(-5m + -2) Reorder the terms: 32 + 4m = -3(-2 + -5m) 32 + 4m = (-2 * -3 + -5m * -3) 32 + 4m = (6 + 15m) Solving 32 + 4m = 6 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 32 + 4m + -15m = 6 + 15m + -15m Combine like terms: 4m + -15m = -11m 32 + -11m = 6 + 15m + -15m Combine like terms: 15m + -15m = 0 32 + -11m = 6 + 0 32 + -11m = 6 Add '-32' to each side of the equation. 32 + -32 + -11m = 6 + -32 Combine like terms: 32 + -32 = 0 0 + -11m = 6 + -32 -11m = 6 + -32 Combine like terms: 6 + -32 = -26 -11m = -26 Divide each side by '-11'. m = 2.363636364 Simplifying m = 2.363636364
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