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Simplifying 12m + 9w = 10m + 12w Solving 12m + 9w = 10m + 12w Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 12m + -10m + 9w = 10m + -10m + 12w Combine like terms: 12m + -10m = 2m 2m + 9w = 10m + -10m + 12w Combine like terms: 10m + -10m = 0 2m + 9w = 0 + 12w 2m + 9w = 12w Add '-9w' to each side of the equation. 2m + 9w + -9w = 12w + -9w Combine like terms: 9w + -9w = 0 2m + 0 = 12w + -9w 2m = 12w + -9w Combine like terms: 12w + -9w = 3w 2m = 3w Divide each side by '2'. m = 1.5w Simplifying m = 1.5w
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