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