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Simplifying -9m + 29 + -8(m + -3) = 3m + -1(5m + -5) + -6m + 3 Reorder the terms: -9m + 29 + -8(-3 + m) = 3m + -1(5m + -5) + -6m + 3 -9m + 29 + (-3 * -8 + m * -8) = 3m + -1(5m + -5) + -6m + 3 -9m + 29 + (24 + -8m) = 3m + -1(5m + -5) + -6m + 3 Reorder the terms: 29 + 24 + -9m + -8m = 3m + -1(5m + -5) + -6m + 3 Combine like terms: 29 + 24 = 53 53 + -9m + -8m = 3m + -1(5m + -5) + -6m + 3 Combine like terms: -9m + -8m = -17m 53 + -17m = 3m + -1(5m + -5) + -6m + 3 Reorder the terms: 53 + -17m = 3m + -1(-5 + 5m) + -6m + 3 53 + -17m = 3m + (-5 * -1 + 5m * -1) + -6m + 3 53 + -17m = 3m + (5 + -5m) + -6m + 3 Reorder the terms: 53 + -17m = 5 + 3 + 3m + -5m + -6m Combine like terms: 5 + 3 = 8 53 + -17m = 8 + 3m + -5m + -6m Combine like terms: 3m + -5m = -2m 53 + -17m = 8 + -2m + -6m Combine like terms: -2m + -6m = -8m 53 + -17m = 8 + -8m Solving 53 + -17m = 8 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 53 + -17m + 8m = 8 + -8m + 8m Combine like terms: -17m + 8m = -9m 53 + -9m = 8 + -8m + 8m Combine like terms: -8m + 8m = 0 53 + -9m = 8 + 0 53 + -9m = 8 Add '-53' to each side of the equation. 53 + -53 + -9m = 8 + -53 Combine like terms: 53 + -53 = 0 0 + -9m = 8 + -53 -9m = 8 + -53 Combine like terms: 8 + -53 = -45 -9m = -45 Divide each side by '-9'. m = 5 Simplifying m = 5
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