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Simplifying 7(-1m + 4) = 24 + -5m Reorder the terms: 7(4 + -1m) = 24 + -5m (4 * 7 + -1m * 7) = 24 + -5m (28 + -7m) = 24 + -5m Solving 28 + -7m = 24 + -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 + -7m + 5m = 24 + -5m + 5m Combine like terms: -7m + 5m = -2m 28 + -2m = 24 + -5m + 5m Combine like terms: -5m + 5m = 0 28 + -2m = 24 + 0 28 + -2m = 24 Add '-28' to each side of the equation. 28 + -28 + -2m = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -2m = 24 + -28 -2m = 24 + -28 Combine like terms: 24 + -28 = -4 -2m = -4 Divide each side by '-2'. m = 2 Simplifying m = 2
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