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