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Simplifying -7m + 18 + -5(m + -2) = 5m + -1(8m + -1) + -6m + 6 Reorder the terms: -7m + 18 + -5(-2 + m) = 5m + -1(8m + -1) + -6m + 6 -7m + 18 + (-2 * -5 + m * -5) = 5m + -1(8m + -1) + -6m + 6 -7m + 18 + (10 + -5m) = 5m + -1(8m + -1) + -6m + 6 Reorder the terms: 18 + 10 + -7m + -5m = 5m + -1(8m + -1) + -6m + 6 Combine like terms: 18 + 10 = 28 28 + -7m + -5m = 5m + -1(8m + -1) + -6m + 6 Combine like terms: -7m + -5m = -12m 28 + -12m = 5m + -1(8m + -1) + -6m + 6 Reorder the terms: 28 + -12m = 5m + -1(-1 + 8m) + -6m + 6 28 + -12m = 5m + (-1 * -1 + 8m * -1) + -6m + 6 28 + -12m = 5m + (1 + -8m) + -6m + 6 Reorder the terms: 28 + -12m = 1 + 6 + 5m + -8m + -6m Combine like terms: 1 + 6 = 7 28 + -12m = 7 + 5m + -8m + -6m Combine like terms: 5m + -8m = -3m 28 + -12m = 7 + -3m + -6m Combine like terms: -3m + -6m = -9m 28 + -12m = 7 + -9m Solving 28 + -12m = 7 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 28 + -12m + 9m = 7 + -9m + 9m Combine like terms: -12m + 9m = -3m 28 + -3m = 7 + -9m + 9m Combine like terms: -9m + 9m = 0 28 + -3m = 7 + 0 28 + -3m = 7 Add '-28' to each side of the equation. 28 + -28 + -3m = 7 + -28 Combine like terms: 28 + -28 = 0 0 + -3m = 7 + -28 -3m = 7 + -28 Combine like terms: 7 + -28 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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