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