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Simplifying (2n + 3m) + (5n + 8m) = 0 Reorder the terms: (3m + 2n) + (5n + 8m) = 0 Remove parenthesis around (3m + 2n) 3m + 2n + (5n + 8m) = 0 Reorder the terms: 3m + 2n + (8m + 5n) = 0 Remove parenthesis around (8m + 5n) 3m + 2n + 8m + 5n = 0 Reorder the terms: 3m + 8m + 2n + 5n = 0 Combine like terms: 3m + 8m = 11m 11m + 2n + 5n = 0 Combine like terms: 2n + 5n = 7n 11m + 7n = 0 Solving 11m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 11m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 11m + 0 = 0 + -7n 11m = 0 + -7n Remove the zero: 11m = -7n Divide each side by '11'. m = -0.6363636364n Simplifying m = -0.6363636364n
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