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Simplifying -6m + 71 + -6(m + -3) = 8m + -1(5m + -4) + -2m + 7 Reorder the terms: -6m + 71 + -6(-3 + m) = 8m + -1(5m + -4) + -2m + 7 -6m + 71 + (-3 * -6 + m * -6) = 8m + -1(5m + -4) + -2m + 7 -6m + 71 + (18 + -6m) = 8m + -1(5m + -4) + -2m + 7 Reorder the terms: 71 + 18 + -6m + -6m = 8m + -1(5m + -4) + -2m + 7 Combine like terms: 71 + 18 = 89 89 + -6m + -6m = 8m + -1(5m + -4) + -2m + 7 Combine like terms: -6m + -6m = -12m 89 + -12m = 8m + -1(5m + -4) + -2m + 7 Reorder the terms: 89 + -12m = 8m + -1(-4 + 5m) + -2m + 7 89 + -12m = 8m + (-4 * -1 + 5m * -1) + -2m + 7 89 + -12m = 8m + (4 + -5m) + -2m + 7 Reorder the terms: 89 + -12m = 4 + 7 + 8m + -5m + -2m Combine like terms: 4 + 7 = 11 89 + -12m = 11 + 8m + -5m + -2m Combine like terms: 8m + -5m = 3m 89 + -12m = 11 + 3m + -2m Combine like terms: 3m + -2m = 1m 89 + -12m = 11 + 1m Solving 89 + -12m = 11 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 89 + -12m + -1m = 11 + 1m + -1m Combine like terms: -12m + -1m = -13m 89 + -13m = 11 + 1m + -1m Combine like terms: 1m + -1m = 0 89 + -13m = 11 + 0 89 + -13m = 11 Add '-89' to each side of the equation. 89 + -89 + -13m = 11 + -89 Combine like terms: 89 + -89 = 0 0 + -13m = 11 + -89 -13m = 11 + -89 Combine like terms: 11 + -89 = -78 -13m = -78 Divide each side by '-13'. m = 6 Simplifying m = 6
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