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Simplifying (2m + 3n) = (4m + 6n) Remove parenthesis around (2m + 3n) 2m + 3n = (4m + 6n) Remove parenthesis around (4m + 6n) 2m + 3n = 4m + 6n Solving 2m + 3n = 4m + 6n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 2m + -4m + 3n = 4m + -4m + 6n Combine like terms: 2m + -4m = -2m -2m + 3n = 4m + -4m + 6n Combine like terms: 4m + -4m = 0 -2m + 3n = 0 + 6n -2m + 3n = 6n Add '-3n' to each side of the equation. -2m + 3n + -3n = 6n + -3n Combine like terms: 3n + -3n = 0 -2m + 0 = 6n + -3n -2m = 6n + -3n Combine like terms: 6n + -3n = 3n -2m = 3n Divide each side by '-2'. m = -1.5n Simplifying m = -1.5n
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