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Simplifying (3m + 2n) + -1(5m + 7n) = 0 Remove parenthesis around (3m + 2n) 3m + 2n + -1(5m + 7n) = 0 3m + 2n + (5m * -1 + 7n * -1) = 0 3m + 2n + (-5m + -7n) = 0 Reorder the terms: 3m + -5m + 2n + -7n = 0 Combine like terms: 3m + -5m = -2m -2m + 2n + -7n = 0 Combine like terms: 2n + -7n = -5n -2m + -5n = 0 Solving -2m + -5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. -2m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 -2m + 0 = 0 + 5n -2m = 0 + 5n Remove the zero: -2m = 5n Divide each side by '-2'. m = -2.5n Simplifying m = -2.5n
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