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Simplifying -3m + 6 + -5(m + -1) = (2m + -4) + -5m + 5 Reorder the terms: -3m + 6 + -5(-1 + m) = (2m + -4) + -5m + 5 -3m + 6 + (-1 * -5 + m * -5) = (2m + -4) + -5m + 5 -3m + 6 + (5 + -5m) = (2m + -4) + -5m + 5 Reorder the terms: 6 + 5 + -3m + -5m = (2m + -4) + -5m + 5 Combine like terms: 6 + 5 = 11 11 + -3m + -5m = (2m + -4) + -5m + 5 Combine like terms: -3m + -5m = -8m 11 + -8m = (2m + -4) + -5m + 5 Reorder the terms: 11 + -8m = (-4 + 2m) + -5m + 5 Remove parenthesis around (-4 + 2m) 11 + -8m = -4 + 2m + -5m + 5 Reorder the terms: 11 + -8m = -4 + 5 + 2m + -5m Combine like terms: -4 + 5 = 1 11 + -8m = 1 + 2m + -5m Combine like terms: 2m + -5m = -3m 11 + -8m = 1 + -3m Solving 11 + -8m = 1 + -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. 11 + -8m + 3m = 1 + -3m + 3m Combine like terms: -8m + 3m = -5m 11 + -5m = 1 + -3m + 3m Combine like terms: -3m + 3m = 0 11 + -5m = 1 + 0 11 + -5m = 1 Add '-11' to each side of the equation. 11 + -11 + -5m = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -5m = 1 + -11 -5m = 1 + -11 Combine like terms: 1 + -11 = -10 -5m = -10 Divide each side by '-5'. m = 2 Simplifying m = 2
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