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Simplifying 35 + 3m = 45 + 2m Solving 35 + 3m = 45 + 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. 35 + 3m + -2m = 45 + 2m + -2m Combine like terms: 3m + -2m = 1m 35 + 1m = 45 + 2m + -2m Combine like terms: 2m + -2m = 0 35 + 1m = 45 + 0 35 + 1m = 45 Add '-35' to each side of the equation. 35 + -35 + 1m = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 1m = 45 + -35 1m = 45 + -35 Combine like terms: 45 + -35 = 10 1m = 10 Divide each side by '1'. m = 10 Simplifying m = 10
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