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Simplifying 3m + (-5) = 2m + 8 3m + -5 = 2m + 8 Reorder the terms: -5 + 3m = 2m + 8 Reorder the terms: -5 + 3m = 8 + 2m Solving -5 + 3m = 8 + 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. -5 + 3m + -2m = 8 + 2m + -2m Combine like terms: 3m + -2m = 1m -5 + 1m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 -5 + 1m = 8 + 0 -5 + 1m = 8 Add '5' to each side of the equation. -5 + 5 + 1m = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 1m = 8 + 5 1m = 8 + 5 Combine like terms: 8 + 5 = 13 1m = 13 Divide each side by '1'. m = 13 Simplifying m = 13
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