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Simplifying -5m + -13 + -4(m + -4) = 6m + -1(9m + -7) + -8m + 8 Reorder the terms: -5m + -13 + -4(-4 + m) = 6m + -1(9m + -7) + -8m + 8 -5m + -13 + (-4 * -4 + m * -4) = 6m + -1(9m + -7) + -8m + 8 -5m + -13 + (16 + -4m) = 6m + -1(9m + -7) + -8m + 8 Reorder the terms: -13 + 16 + -5m + -4m = 6m + -1(9m + -7) + -8m + 8 Combine like terms: -13 + 16 = 3 3 + -5m + -4m = 6m + -1(9m + -7) + -8m + 8 Combine like terms: -5m + -4m = -9m 3 + -9m = 6m + -1(9m + -7) + -8m + 8 Reorder the terms: 3 + -9m = 6m + -1(-7 + 9m) + -8m + 8 3 + -9m = 6m + (-7 * -1 + 9m * -1) + -8m + 8 3 + -9m = 6m + (7 + -9m) + -8m + 8 Reorder the terms: 3 + -9m = 7 + 8 + 6m + -9m + -8m Combine like terms: 7 + 8 = 15 3 + -9m = 15 + 6m + -9m + -8m Combine like terms: 6m + -9m = -3m 3 + -9m = 15 + -3m + -8m Combine like terms: -3m + -8m = -11m 3 + -9m = 15 + -11m Solving 3 + -9m = 15 + -11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11m' to each side of the equation. 3 + -9m + 11m = 15 + -11m + 11m Combine like terms: -9m + 11m = 2m 3 + 2m = 15 + -11m + 11m Combine like terms: -11m + 11m = 0 3 + 2m = 15 + 0 3 + 2m = 15 Add '-3' to each side of the equation. 3 + -3 + 2m = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 15 + -3 2m = 15 + -3 Combine like terms: 15 + -3 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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