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Simplifying 3(m + -1) + -1 = -3m + 5 + 12m Reorder the terms: 3(-1 + m) + -1 = -3m + 5 + 12m (-1 * 3 + m * 3) + -1 = -3m + 5 + 12m (-3 + 3m) + -1 = -3m + 5 + 12m Reorder the terms: -3 + -1 + 3m = -3m + 5 + 12m Combine like terms: -3 + -1 = -4 -4 + 3m = -3m + 5 + 12m Reorder the terms: -4 + 3m = 5 + -3m + 12m Combine like terms: -3m + 12m = 9m -4 + 3m = 5 + 9m Solving -4 + 3m = 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. -4 + 3m + -9m = 5 + 9m + -9m Combine like terms: 3m + -9m = -6m -4 + -6m = 5 + 9m + -9m Combine like terms: 9m + -9m = 0 -4 + -6m = 5 + 0 -4 + -6m = 5 Add '4' to each side of the equation. -4 + 4 + -6m = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -6m = 5 + 4 -6m = 5 + 4 Combine like terms: 5 + 4 = 9 -6m = 9 Divide each side by '-6'. m = -1.5 Simplifying m = -1.5
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