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Simplifying 2m + 14 + -5(m + -1) = 9m + -1(5m + -4) + -8m + 9 Reorder the terms: 2m + 14 + -5(-1 + m) = 9m + -1(5m + -4) + -8m + 9 2m + 14 + (-1 * -5 + m * -5) = 9m + -1(5m + -4) + -8m + 9 2m + 14 + (5 + -5m) = 9m + -1(5m + -4) + -8m + 9 Reorder the terms: 14 + 5 + 2m + -5m = 9m + -1(5m + -4) + -8m + 9 Combine like terms: 14 + 5 = 19 19 + 2m + -5m = 9m + -1(5m + -4) + -8m + 9 Combine like terms: 2m + -5m = -3m 19 + -3m = 9m + -1(5m + -4) + -8m + 9 Reorder the terms: 19 + -3m = 9m + -1(-4 + 5m) + -8m + 9 19 + -3m = 9m + (-4 * -1 + 5m * -1) + -8m + 9 19 + -3m = 9m + (4 + -5m) + -8m + 9 Reorder the terms: 19 + -3m = 4 + 9 + 9m + -5m + -8m Combine like terms: 4 + 9 = 13 19 + -3m = 13 + 9m + -5m + -8m Combine like terms: 9m + -5m = 4m 19 + -3m = 13 + 4m + -8m Combine like terms: 4m + -8m = -4m 19 + -3m = 13 + -4m Solving 19 + -3m = 13 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 19 + -3m + 4m = 13 + -4m + 4m Combine like terms: -3m + 4m = 1m 19 + 1m = 13 + -4m + 4m Combine like terms: -4m + 4m = 0 19 + 1m = 13 + 0 19 + 1m = 13 Add '-19' to each side of the equation. 19 + -19 + 1m = 13 + -19 Combine like terms: 19 + -19 = 0 0 + 1m = 13 + -19 1m = 13 + -19 Combine like terms: 13 + -19 = -6 1m = -6 Divide each side by '1'. m = -6 Simplifying m = -6
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