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Simplifying -2 + 5m = 3m + 8 Reorder the terms: -2 + 5m = 8 + 3m Solving -2 + 5m = 8 + 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. -2 + 5m + -3m = 8 + 3m + -3m Combine like terms: 5m + -3m = 2m -2 + 2m = 8 + 3m + -3m Combine like terms: 3m + -3m = 0 -2 + 2m = 8 + 0 -2 + 2m = 8 Add '2' to each side of the equation. -2 + 2 + 2m = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2m = 8 + 2 2m = 8 + 2 Combine like terms: 8 + 2 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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