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Simplifying 3(3m + -2) + 10 = 3(m + -4) + -3 Reorder the terms: 3(-2 + 3m) + 10 = 3(m + -4) + -3 (-2 * 3 + 3m * 3) + 10 = 3(m + -4) + -3 (-6 + 9m) + 10 = 3(m + -4) + -3 Reorder the terms: -6 + 10 + 9m = 3(m + -4) + -3 Combine like terms: -6 + 10 = 4 4 + 9m = 3(m + -4) + -3 Reorder the terms: 4 + 9m = 3(-4 + m) + -3 4 + 9m = (-4 * 3 + m * 3) + -3 4 + 9m = (-12 + 3m) + -3 Reorder the terms: 4 + 9m = -12 + -3 + 3m Combine like terms: -12 + -3 = -15 4 + 9m = -15 + 3m Solving 4 + 9m = -15 + 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. 4 + 9m + -3m = -15 + 3m + -3m Combine like terms: 9m + -3m = 6m 4 + 6m = -15 + 3m + -3m Combine like terms: 3m + -3m = 0 4 + 6m = -15 + 0 4 + 6m = -15 Add '-4' to each side of the equation. 4 + -4 + 6m = -15 + -4 Combine like terms: 4 + -4 = 0 0 + 6m = -15 + -4 6m = -15 + -4 Combine like terms: -15 + -4 = -19 6m = -19 Divide each side by '6'. m = -3.166666667 Simplifying m = -3.166666667
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