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Simplifying -32 = -2 + -3(1 + 3m) -32 = -2 + (1 * -3 + 3m * -3) -32 = -2 + (-3 + -9m) Combine like terms: -2 + -3 = -5 -32 = -5 + -9m Solving -32 = -5 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -32 + 9m = -5 + -9m + 9m Combine like terms: -9m + 9m = 0 -32 + 9m = -5 + 0 -32 + 9m = -5 Add '32' to each side of the equation. -32 + 32 + 9m = -5 + 32 Combine like terms: -32 + 32 = 0 0 + 9m = -5 + 32 9m = -5 + 32 Combine like terms: -5 + 32 = 27 9m = 27 Divide each side by '9'. m = 3 Simplifying m = 3
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