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Simplifying -9(m + -9) + -5(2m + -1) = -20(m + -6) + -6 Reorder the terms: -9(-9 + m) + -5(2m + -1) = -20(m + -6) + -6 (-9 * -9 + m * -9) + -5(2m + -1) = -20(m + -6) + -6 (81 + -9m) + -5(2m + -1) = -20(m + -6) + -6 Reorder the terms: 81 + -9m + -5(-1 + 2m) = -20(m + -6) + -6 81 + -9m + (-1 * -5 + 2m * -5) = -20(m + -6) + -6 81 + -9m + (5 + -10m) = -20(m + -6) + -6 Reorder the terms: 81 + 5 + -9m + -10m = -20(m + -6) + -6 Combine like terms: 81 + 5 = 86 86 + -9m + -10m = -20(m + -6) + -6 Combine like terms: -9m + -10m = -19m 86 + -19m = -20(m + -6) + -6 Reorder the terms: 86 + -19m = -20(-6 + m) + -6 86 + -19m = (-6 * -20 + m * -20) + -6 86 + -19m = (120 + -20m) + -6 Reorder the terms: 86 + -19m = 120 + -6 + -20m Combine like terms: 120 + -6 = 114 86 + -19m = 114 + -20m Solving 86 + -19m = 114 + -20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20m' to each side of the equation. 86 + -19m + 20m = 114 + -20m + 20m Combine like terms: -19m + 20m = 1m 86 + 1m = 114 + -20m + 20m Combine like terms: -20m + 20m = 0 86 + 1m = 114 + 0 86 + 1m = 114 Add '-86' to each side of the equation. 86 + -86 + 1m = 114 + -86 Combine like terms: 86 + -86 = 0 0 + 1m = 114 + -86 1m = 114 + -86 Combine like terms: 114 + -86 = 28 1m = 28 Divide each side by '1'. m = 28 Simplifying m = 28
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