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Simplifying 2(m + 4) + 5(4 + -2m) = -9(m + 1) + 8 Reorder the terms: 2(4 + m) + 5(4 + -2m) = -9(m + 1) + 8 (4 * 2 + m * 2) + 5(4 + -2m) = -9(m + 1) + 8 (8 + 2m) + 5(4 + -2m) = -9(m + 1) + 8 8 + 2m + (4 * 5 + -2m * 5) = -9(m + 1) + 8 8 + 2m + (20 + -10m) = -9(m + 1) + 8 Reorder the terms: 8 + 20 + 2m + -10m = -9(m + 1) + 8 Combine like terms: 8 + 20 = 28 28 + 2m + -10m = -9(m + 1) + 8 Combine like terms: 2m + -10m = -8m 28 + -8m = -9(m + 1) + 8 Reorder the terms: 28 + -8m = -9(1 + m) + 8 28 + -8m = (1 * -9 + m * -9) + 8 28 + -8m = (-9 + -9m) + 8 Reorder the terms: 28 + -8m = -9 + 8 + -9m Combine like terms: -9 + 8 = -1 28 + -8m = -1 + -9m Solving 28 + -8m = -1 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 28 + -8m + 9m = -1 + -9m + 9m Combine like terms: -8m + 9m = 1m 28 + 1m = -1 + -9m + 9m Combine like terms: -9m + 9m = 0 28 + 1m = -1 + 0 28 + 1m = -1 Add '-28' to each side of the equation. 28 + -28 + 1m = -1 + -28 Combine like terms: 28 + -28 = 0 0 + 1m = -1 + -28 1m = -1 + -28 Combine like terms: -1 + -28 = -29 1m = -29 Divide each side by '1'. m = -29 Simplifying m = -29
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