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Simplifying -8m + 36 + -9(m + -1) = 5m + -1(3m + -7) + -2m + 4 Reorder the terms: -8m + 36 + -9(-1 + m) = 5m + -1(3m + -7) + -2m + 4 -8m + 36 + (-1 * -9 + m * -9) = 5m + -1(3m + -7) + -2m + 4 -8m + 36 + (9 + -9m) = 5m + -1(3m + -7) + -2m + 4 Reorder the terms: 36 + 9 + -8m + -9m = 5m + -1(3m + -7) + -2m + 4 Combine like terms: 36 + 9 = 45 45 + -8m + -9m = 5m + -1(3m + -7) + -2m + 4 Combine like terms: -8m + -9m = -17m 45 + -17m = 5m + -1(3m + -7) + -2m + 4 Reorder the terms: 45 + -17m = 5m + -1(-7 + 3m) + -2m + 4 45 + -17m = 5m + (-7 * -1 + 3m * -1) + -2m + 4 45 + -17m = 5m + (7 + -3m) + -2m + 4 Reorder the terms: 45 + -17m = 7 + 4 + 5m + -3m + -2m Combine like terms: 7 + 4 = 11 45 + -17m = 11 + 5m + -3m + -2m Combine like terms: 5m + -3m = 2m 45 + -17m = 11 + 2m + -2m Combine like terms: 2m + -2m = 0 45 + -17m = 11 + 0 45 + -17m = 11 Solving 45 + -17m = 11 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -17m = 11 + -45 Combine like terms: 45 + -45 = 0 0 + -17m = 11 + -45 -17m = 11 + -45 Combine like terms: 11 + -45 = -34 -17m = -34 Divide each side by '-17'. m = 2 Simplifying m = 2
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