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Simplifying (5m + 3n) + (3m + -7n) = 0 Remove parenthesis around (5m + 3n) 5m + 3n + (3m + -7n) = 0 Remove parenthesis around (3m + -7n) 5m + 3n + 3m + -7n = 0 Reorder the terms: 5m + 3m + 3n + -7n = 0 Combine like terms: 5m + 3m = 8m 8m + 3n + -7n = 0 Combine like terms: 3n + -7n = -4n 8m + -4n = 0 Solving 8m + -4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. 8m + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 8m + 0 = 0 + 4n 8m = 0 + 4n Remove the zero: 8m = 4n Divide each side by '8'. m = 0.5n Simplifying m = 0.5n
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