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Simplifying -3m + 15 + -5(m + -1) = 7m + -1(8m + -7) + -2m + 3 Reorder the terms: -3m + 15 + -5(-1 + m) = 7m + -1(8m + -7) + -2m + 3 -3m + 15 + (-1 * -5 + m * -5) = 7m + -1(8m + -7) + -2m + 3 -3m + 15 + (5 + -5m) = 7m + -1(8m + -7) + -2m + 3 Reorder the terms: 15 + 5 + -3m + -5m = 7m + -1(8m + -7) + -2m + 3 Combine like terms: 15 + 5 = 20 20 + -3m + -5m = 7m + -1(8m + -7) + -2m + 3 Combine like terms: -3m + -5m = -8m 20 + -8m = 7m + -1(8m + -7) + -2m + 3 Reorder the terms: 20 + -8m = 7m + -1(-7 + 8m) + -2m + 3 20 + -8m = 7m + (-7 * -1 + 8m * -1) + -2m + 3 20 + -8m = 7m + (7 + -8m) + -2m + 3 Reorder the terms: 20 + -8m = 7 + 3 + 7m + -8m + -2m Combine like terms: 7 + 3 = 10 20 + -8m = 10 + 7m + -8m + -2m Combine like terms: 7m + -8m = -1m 20 + -8m = 10 + -1m + -2m Combine like terms: -1m + -2m = -3m 20 + -8m = 10 + -3m Solving 20 + -8m = 10 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 20 + -8m + 3m = 10 + -3m + 3m Combine like terms: -8m + 3m = -5m 20 + -5m = 10 + -3m + 3m Combine like terms: -3m + 3m = 0 20 + -5m = 10 + 0 20 + -5m = 10 Add '-20' to each side of the equation. 20 + -20 + -5m = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -5m = 10 + -20 -5m = 10 + -20 Combine like terms: 10 + -20 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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