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Simplifying -8m + 37 + -2(m + -1) = 9m + -1(5m + -8) + -6m + 7 Reorder the terms: -8m + 37 + -2(-1 + m) = 9m + -1(5m + -8) + -6m + 7 -8m + 37 + (-1 * -2 + m * -2) = 9m + -1(5m + -8) + -6m + 7 -8m + 37 + (2 + -2m) = 9m + -1(5m + -8) + -6m + 7 Reorder the terms: 37 + 2 + -8m + -2m = 9m + -1(5m + -8) + -6m + 7 Combine like terms: 37 + 2 = 39 39 + -8m + -2m = 9m + -1(5m + -8) + -6m + 7 Combine like terms: -8m + -2m = -10m 39 + -10m = 9m + -1(5m + -8) + -6m + 7 Reorder the terms: 39 + -10m = 9m + -1(-8 + 5m) + -6m + 7 39 + -10m = 9m + (-8 * -1 + 5m * -1) + -6m + 7 39 + -10m = 9m + (8 + -5m) + -6m + 7 Reorder the terms: 39 + -10m = 8 + 7 + 9m + -5m + -6m Combine like terms: 8 + 7 = 15 39 + -10m = 15 + 9m + -5m + -6m Combine like terms: 9m + -5m = 4m 39 + -10m = 15 + 4m + -6m Combine like terms: 4m + -6m = -2m 39 + -10m = 15 + -2m Solving 39 + -10m = 15 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 39 + -10m + 2m = 15 + -2m + 2m Combine like terms: -10m + 2m = -8m 39 + -8m = 15 + -2m + 2m Combine like terms: -2m + 2m = 0 39 + -8m = 15 + 0 39 + -8m = 15 Add '-39' to each side of the equation. 39 + -39 + -8m = 15 + -39 Combine like terms: 39 + -39 = 0 0 + -8m = 15 + -39 -8m = 15 + -39 Combine like terms: 15 + -39 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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