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Simplifying -8m + 59 + -3(m + -3) = 9m + -1(4m + -5) + -2m + 7 Reorder the terms: -8m + 59 + -3(-3 + m) = 9m + -1(4m + -5) + -2m + 7 -8m + 59 + (-3 * -3 + m * -3) = 9m + -1(4m + -5) + -2m + 7 -8m + 59 + (9 + -3m) = 9m + -1(4m + -5) + -2m + 7 Reorder the terms: 59 + 9 + -8m + -3m = 9m + -1(4m + -5) + -2m + 7 Combine like terms: 59 + 9 = 68 68 + -8m + -3m = 9m + -1(4m + -5) + -2m + 7 Combine like terms: -8m + -3m = -11m 68 + -11m = 9m + -1(4m + -5) + -2m + 7 Reorder the terms: 68 + -11m = 9m + -1(-5 + 4m) + -2m + 7 68 + -11m = 9m + (-5 * -1 + 4m * -1) + -2m + 7 68 + -11m = 9m + (5 + -4m) + -2m + 7 Reorder the terms: 68 + -11m = 5 + 7 + 9m + -4m + -2m Combine like terms: 5 + 7 = 12 68 + -11m = 12 + 9m + -4m + -2m Combine like terms: 9m + -4m = 5m 68 + -11m = 12 + 5m + -2m Combine like terms: 5m + -2m = 3m 68 + -11m = 12 + 3m Solving 68 + -11m = 12 + 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. 68 + -11m + -3m = 12 + 3m + -3m Combine like terms: -11m + -3m = -14m 68 + -14m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 68 + -14m = 12 + 0 68 + -14m = 12 Add '-68' to each side of the equation. 68 + -68 + -14m = 12 + -68 Combine like terms: 68 + -68 = 0 0 + -14m = 12 + -68 -14m = 12 + -68 Combine like terms: 12 + -68 = -56 -14m = -56 Divide each side by '-14'. m = 4 Simplifying m = 4
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