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Simplifying (-5m) + 2 + 8m = 2m + 11 Reorder the terms: 2 + (-5m) + 8m = 2m + 11 Combine like terms: (-5m) + 8m = 3m 2 + 3m = 2m + 11 Reorder the terms: 2 + 3m = 11 + 2m Solving 2 + 3m = 11 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 2 + 3m + -2m = 11 + 2m + -2m Combine like terms: 3m + -2m = 1m 2 + 1m = 11 + 2m + -2m Combine like terms: 2m + -2m = 0 2 + 1m = 11 + 0 2 + 1m = 11 Add '-2' to each side of the equation. 2 + -2 + 1m = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 1m = 11 + -2 1m = 11 + -2 Combine like terms: 11 + -2 = 9 1m = 9 Divide each side by '1'. m = 9 Simplifying m = 9
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