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Simplifying 45 + -2m = 15 + 3m Solving 45 + -2m = 15 + 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. 45 + -2m + -3m = 15 + 3m + -3m Combine like terms: -2m + -3m = -5m 45 + -5m = 15 + 3m + -3m Combine like terms: 3m + -3m = 0 45 + -5m = 15 + 0 45 + -5m = 15 Add '-45' to each side of the equation. 45 + -45 + -5m = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -5m = 15 + -45 -5m = 15 + -45 Combine like terms: 15 + -45 = -30 -5m = -30 Divide each side by '-5'. m = 6 Simplifying m = 6
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