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Simplifying -4(3m + -7) + 3(m + -5) = 12 + -6 Reorder the terms: -4(-7 + 3m) + 3(m + -5) = 12 + -6 (-7 * -4 + 3m * -4) + 3(m + -5) = 12 + -6 (28 + -12m) + 3(m + -5) = 12 + -6 Reorder the terms: 28 + -12m + 3(-5 + m) = 12 + -6 28 + -12m + (-5 * 3 + m * 3) = 12 + -6 28 + -12m + (-15 + 3m) = 12 + -6 Reorder the terms: 28 + -15 + -12m + 3m = 12 + -6 Combine like terms: 28 + -15 = 13 13 + -12m + 3m = 12 + -6 Combine like terms: -12m + 3m = -9m 13 + -9m = 12 + -6 Combine like terms: 12 + -6 = 6 13 + -9m = 6 Solving 13 + -9m = 6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -9m = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -9m = 6 + -13 -9m = 6 + -13 Combine like terms: 6 + -13 = -7 -9m = -7 Divide each side by '-9'. m = 0.7777777778 Simplifying m = 0.7777777778
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