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Simplifying 15 + -1(3m + 5) = 4 + 3m + -12 Reorder the terms: 15 + -1(5 + 3m) = 4 + 3m + -12 15 + (5 * -1 + 3m * -1) = 4 + 3m + -12 15 + (-5 + -3m) = 4 + 3m + -12 Combine like terms: 15 + -5 = 10 10 + -3m = 4 + 3m + -12 Reorder the terms: 10 + -3m = 4 + -12 + 3m Combine like terms: 4 + -12 = -8 10 + -3m = -8 + 3m Solving 10 + -3m = -8 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 10 + -3m + -3m = -8 + 3m + -3m Combine like terms: -3m + -3m = -6m 10 + -6m = -8 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + -6m = -8 + 0 10 + -6m = -8 Add '-10' to each side of the equation. 10 + -10 + -6m = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -6m = -8 + -10 -6m = -8 + -10 Combine like terms: -8 + -10 = -18 -6m = -18 Divide each side by '-6'. m = 3 Simplifying m = 3
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