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Simplifying 8 + 2m + -5 = 8m + 24 + -3m Reorder the terms: 8 + -5 + 2m = 8m + 24 + -3m Combine like terms: 8 + -5 = 3 3 + 2m = 8m + 24 + -3m Reorder the terms: 3 + 2m = 24 + 8m + -3m Combine like terms: 8m + -3m = 5m 3 + 2m = 24 + 5m Solving 3 + 2m = 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. 3 + 2m + -5m = 24 + 5m + -5m Combine like terms: 2m + -5m = -3m 3 + -3m = 24 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + -3m = 24 + 0 3 + -3m = 24 Add '-3' to each side of the equation. 3 + -3 + -3m = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -3m = 24 + -3 -3m = 24 + -3 Combine like terms: 24 + -3 = 21 -3m = 21 Divide each side by '-3'. m = -7 Simplifying m = -7
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