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