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Simplifying 7 + 2m + -3 = 8m + 10 + -5m Reorder the terms: 7 + -3 + 2m = 8m + 10 + -5m Combine like terms: 7 + -3 = 4 4 + 2m = 8m + 10 + -5m Reorder the terms: 4 + 2m = 10 + 8m + -5m Combine like terms: 8m + -5m = 3m 4 + 2m = 10 + 3m Solving 4 + 2m = 10 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 4 + 2m + -3m = 10 + 3m + -3m Combine like terms: 2m + -3m = -1m 4 + -1m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 4 + -1m = 10 + 0 4 + -1m = 10 Add '-4' to each side of the equation. 4 + -4 + -1m = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 10 + -4 -1m = 10 + -4 Combine like terms: 10 + -4 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6
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