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Simplifying 51 = 3(1 + -4m) 51 = (1 * 3 + -4m * 3) 51 = (3 + -12m) Solving 51 = 3 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. 51 + 12m = 3 + -12m + 12m Combine like terms: -12m + 12m = 0 51 + 12m = 3 + 0 51 + 12m = 3 Add '-51' to each side of the equation. 51 + -51 + 12m = 3 + -51 Combine like terms: 51 + -51 = 0 0 + 12m = 3 + -51 12m = 3 + -51 Combine like terms: 3 + -51 = -48 12m = -48 Divide each side by '12'. m = -4 Simplifying m = -4
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