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Simplifying -8m + 53 + -9(m + -2) = 7m + -1(9m + -3) + -3m + 8 Reorder the terms: -8m + 53 + -9(-2 + m) = 7m + -1(9m + -3) + -3m + 8 -8m + 53 + (-2 * -9 + m * -9) = 7m + -1(9m + -3) + -3m + 8 -8m + 53 + (18 + -9m) = 7m + -1(9m + -3) + -3m + 8 Reorder the terms: 53 + 18 + -8m + -9m = 7m + -1(9m + -3) + -3m + 8 Combine like terms: 53 + 18 = 71 71 + -8m + -9m = 7m + -1(9m + -3) + -3m + 8 Combine like terms: -8m + -9m = -17m 71 + -17m = 7m + -1(9m + -3) + -3m + 8 Reorder the terms: 71 + -17m = 7m + -1(-3 + 9m) + -3m + 8 71 + -17m = 7m + (-3 * -1 + 9m * -1) + -3m + 8 71 + -17m = 7m + (3 + -9m) + -3m + 8 Reorder the terms: 71 + -17m = 3 + 8 + 7m + -9m + -3m Combine like terms: 3 + 8 = 11 71 + -17m = 11 + 7m + -9m + -3m Combine like terms: 7m + -9m = -2m 71 + -17m = 11 + -2m + -3m Combine like terms: -2m + -3m = -5m 71 + -17m = 11 + -5m Solving 71 + -17m = 11 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 71 + -17m + 5m = 11 + -5m + 5m Combine like terms: -17m + 5m = -12m 71 + -12m = 11 + -5m + 5m Combine like terms: -5m + 5m = 0 71 + -12m = 11 + 0 71 + -12m = 11 Add '-71' to each side of the equation. 71 + -71 + -12m = 11 + -71 Combine like terms: 71 + -71 = 0 0 + -12m = 11 + -71 -12m = 11 + -71 Combine like terms: 11 + -71 = -60 -12m = -60 Divide each side by '-12'. m = 5 Simplifying m = 5
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