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Simplifying 3m + 4n = 5m + 6 Reorder the terms: 3m + 4n = 6 + 5m Solving 3m + 4n = 6 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 3m + -5m + 4n = 6 + 5m + -5m Combine like terms: 3m + -5m = -2m -2m + 4n = 6 + 5m + -5m Combine like terms: 5m + -5m = 0 -2m + 4n = 6 + 0 -2m + 4n = 6 Add '-4n' to each side of the equation. -2m + 4n + -4n = 6 + -4n Combine like terms: 4n + -4n = 0 -2m + 0 = 6 + -4n -2m = 6 + -4n Divide each side by '-2'. m = -3 + 2n Simplifying m = -3 + 2n
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