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Simplifying -3m + 6 + -5(m + -1) = -5m + -1(2m + -4 + 5) Reorder the terms: -3m + 6 + -5(-1 + m) = -5m + -1(2m + -4 + 5) -3m + 6 + (-1 * -5 + m * -5) = -5m + -1(2m + -4 + 5) -3m + 6 + (5 + -5m) = -5m + -1(2m + -4 + 5) Reorder the terms: 6 + 5 + -3m + -5m = -5m + -1(2m + -4 + 5) Combine like terms: 6 + 5 = 11 11 + -3m + -5m = -5m + -1(2m + -4 + 5) Combine like terms: -3m + -5m = -8m 11 + -8m = -5m + -1(2m + -4 + 5) Reorder the terms: 11 + -8m = -5m + -1(-4 + 5 + 2m) Combine like terms: -4 + 5 = 1 11 + -8m = -5m + -1(1 + 2m) 11 + -8m = -5m + (1 * -1 + 2m * -1) 11 + -8m = -5m + (-1 + -2m) Reorder the terms: 11 + -8m = -1 + -5m + -2m Combine like terms: -5m + -2m = -7m 11 + -8m = -1 + -7m Solving 11 + -8m = -1 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 11 + -8m + 7m = -1 + -7m + 7m Combine like terms: -8m + 7m = -1m 11 + -1m = -1 + -7m + 7m Combine like terms: -7m + 7m = 0 11 + -1m = -1 + 0 11 + -1m = -1 Add '-11' to each side of the equation. 11 + -11 + -1m = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = -1 + -11 -1m = -1 + -11 Combine like terms: -1 + -11 = -12 -1m = -12 Divide each side by '-1'. m = 12 Simplifying m = 12
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