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Simplifying 4(2m + 7) = 5m + -2 Reorder the terms: 4(7 + 2m) = 5m + -2 (7 * 4 + 2m * 4) = 5m + -2 (28 + 8m) = 5m + -2 Reorder the terms: 28 + 8m = -2 + 5m Solving 28 + 8m = -2 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 28 + 8m + -5m = -2 + 5m + -5m Combine like terms: 8m + -5m = 3m 28 + 3m = -2 + 5m + -5m Combine like terms: 5m + -5m = 0 28 + 3m = -2 + 0 28 + 3m = -2 Add '-28' to each side of the equation. 28 + -28 + 3m = -2 + -28 Combine like terms: 28 + -28 = 0 0 + 3m = -2 + -28 3m = -2 + -28 Combine like terms: -2 + -28 = -30 3m = -30 Divide each side by '3'. m = -10 Simplifying m = -10
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