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Simplifying -6m + 29 + -3(m + -1) = 5m + -1(2m + -6) + -3m + 8 Reorder the terms: -6m + 29 + -3(-1 + m) = 5m + -1(2m + -6) + -3m + 8 -6m + 29 + (-1 * -3 + m * -3) = 5m + -1(2m + -6) + -3m + 8 -6m + 29 + (3 + -3m) = 5m + -1(2m + -6) + -3m + 8 Reorder the terms: 29 + 3 + -6m + -3m = 5m + -1(2m + -6) + -3m + 8 Combine like terms: 29 + 3 = 32 32 + -6m + -3m = 5m + -1(2m + -6) + -3m + 8 Combine like terms: -6m + -3m = -9m 32 + -9m = 5m + -1(2m + -6) + -3m + 8 Reorder the terms: 32 + -9m = 5m + -1(-6 + 2m) + -3m + 8 32 + -9m = 5m + (-6 * -1 + 2m * -1) + -3m + 8 32 + -9m = 5m + (6 + -2m) + -3m + 8 Reorder the terms: 32 + -9m = 6 + 8 + 5m + -2m + -3m Combine like terms: 6 + 8 = 14 32 + -9m = 14 + 5m + -2m + -3m Combine like terms: 5m + -2m = 3m 32 + -9m = 14 + 3m + -3m Combine like terms: 3m + -3m = 0 32 + -9m = 14 + 0 32 + -9m = 14 Solving 32 + -9m = 14 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -9m = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -9m = 14 + -32 -9m = 14 + -32 Combine like terms: 14 + -32 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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