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Simplifying 3m + -8 = 2m + 7 Reorder the terms: -8 + 3m = 2m + 7 Reorder the terms: -8 + 3m = 7 + 2m Solving -8 + 3m = 7 + 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. -8 + 3m + -2m = 7 + 2m + -2m Combine like terms: 3m + -2m = 1m -8 + 1m = 7 + 2m + -2m Combine like terms: 2m + -2m = 0 -8 + 1m = 7 + 0 -8 + 1m = 7 Add '8' to each side of the equation. -8 + 8 + 1m = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 1m = 7 + 8 1m = 7 + 8 Combine like terms: 7 + 8 = 15 1m = 15 Divide each side by '1'. m = 15 Simplifying m = 15
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