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Simplifying (2m + 5n) + -1(m + n) = 0 Remove parenthesis around (2m + 5n) 2m + 5n + -1(m + n) = 0 2m + 5n + (m * -1 + n * -1) = 0 2m + 5n + (-1m + -1n) = 0 Reorder the terms: 2m + -1m + 5n + -1n = 0 Combine like terms: 2m + -1m = 1m 1m + 5n + -1n = 0 Combine like terms: 5n + -1n = 4n 1m + 4n = 0 Solving 1m + 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. 1m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 1m + 0 = 0 + -4n 1m = 0 + -4n Remove the zero: 1m = -4n Divide each side by '1'. m = -4n Simplifying m = -4n
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