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Simplifying -6m + 25 + -7(m + -2) = 5m + -1(7m + -8) + -3m + 7 Reorder the terms: -6m + 25 + -7(-2 + m) = 5m + -1(7m + -8) + -3m + 7 -6m + 25 + (-2 * -7 + m * -7) = 5m + -1(7m + -8) + -3m + 7 -6m + 25 + (14 + -7m) = 5m + -1(7m + -8) + -3m + 7 Reorder the terms: 25 + 14 + -6m + -7m = 5m + -1(7m + -8) + -3m + 7 Combine like terms: 25 + 14 = 39 39 + -6m + -7m = 5m + -1(7m + -8) + -3m + 7 Combine like terms: -6m + -7m = -13m 39 + -13m = 5m + -1(7m + -8) + -3m + 7 Reorder the terms: 39 + -13m = 5m + -1(-8 + 7m) + -3m + 7 39 + -13m = 5m + (-8 * -1 + 7m * -1) + -3m + 7 39 + -13m = 5m + (8 + -7m) + -3m + 7 Reorder the terms: 39 + -13m = 8 + 7 + 5m + -7m + -3m Combine like terms: 8 + 7 = 15 39 + -13m = 15 + 5m + -7m + -3m Combine like terms: 5m + -7m = -2m 39 + -13m = 15 + -2m + -3m Combine like terms: -2m + -3m = -5m 39 + -13m = 15 + -5m Solving 39 + -13m = 15 + -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. 39 + -13m + 5m = 15 + -5m + 5m Combine like terms: -13m + 5m = -8m 39 + -8m = 15 + -5m + 5m Combine like terms: -5m + 5m = 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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