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Simplifying 5 + 2m + -2 = 8m + 9 + -5m Reorder the terms: 5 + -2 + 2m = 8m + 9 + -5m Combine like terms: 5 + -2 = 3 3 + 2m = 8m + 9 + -5m Reorder the terms: 3 + 2m = 9 + 8m + -5m Combine like terms: 8m + -5m = 3m 3 + 2m = 9 + 3m Solving 3 + 2m = 9 + 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. 3 + 2m + -3m = 9 + 3m + -3m Combine like terms: 2m + -3m = -1m 3 + -1m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + -1m = 9 + 0 3 + -1m = 9 Add '-3' to each side of the equation. 3 + -3 + -1m = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 9 + -3 -1m = 9 + -3 Combine like terms: 9 + -3 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6
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