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Simplifying -8m + 18 + -7(m + -1) = 6m + -1(9m + -4) + -5m + 7 Reorder the terms: -8m + 18 + -7(-1 + m) = 6m + -1(9m + -4) + -5m + 7 -8m + 18 + (-1 * -7 + m * -7) = 6m + -1(9m + -4) + -5m + 7 -8m + 18 + (7 + -7m) = 6m + -1(9m + -4) + -5m + 7 Reorder the terms: 18 + 7 + -8m + -7m = 6m + -1(9m + -4) + -5m + 7 Combine like terms: 18 + 7 = 25 25 + -8m + -7m = 6m + -1(9m + -4) + -5m + 7 Combine like terms: -8m + -7m = -15m 25 + -15m = 6m + -1(9m + -4) + -5m + 7 Reorder the terms: 25 + -15m = 6m + -1(-4 + 9m) + -5m + 7 25 + -15m = 6m + (-4 * -1 + 9m * -1) + -5m + 7 25 + -15m = 6m + (4 + -9m) + -5m + 7 Reorder the terms: 25 + -15m = 4 + 7 + 6m + -9m + -5m Combine like terms: 4 + 7 = 11 25 + -15m = 11 + 6m + -9m + -5m Combine like terms: 6m + -9m = -3m 25 + -15m = 11 + -3m + -5m Combine like terms: -3m + -5m = -8m 25 + -15m = 11 + -8m Solving 25 + -15m = 11 + -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. 25 + -15m + 8m = 11 + -8m + 8m Combine like terms: -15m + 8m = -7m 25 + -7m = 11 + -8m + 8m Combine like terms: -8m + 8m = 0 25 + -7m = 11 + 0 25 + -7m = 11 Add '-25' to each side of the equation. 25 + -25 + -7m = 11 + -25 Combine like terms: 25 + -25 = 0 0 + -7m = 11 + -25 -7m = 11 + -25 Combine like terms: 11 + -25 = -14 -7m = -14 Divide each side by '-7'. m = 2 Simplifying m = 2
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