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Simplifying 32 = -2(3m + 5) Reorder the terms: 32 = -2(5 + 3m) 32 = (5 * -2 + 3m * -2) 32 = (-10 + -6m) Solving 32 = -10 + -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. 32 + 6m = -10 + -6m + 6m Combine like terms: -6m + 6m = 0 32 + 6m = -10 + 0 32 + 6m = -10 Add '-32' to each side of the equation. 32 + -32 + 6m = -10 + -32 Combine like terms: 32 + -32 = 0 0 + 6m = -10 + -32 6m = -10 + -32 Combine like terms: -10 + -32 = -42 6m = -42 Divide each side by '6'. m = -7 Simplifying m = -7
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