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Simplifying 5(m + -2n) + -1(2n + -1n) = 0 (m * 5 + -2n * 5) + -1(2n + -1n) = 0 (5m + -10n) + -1(2n + -1n) = 0 Combine like terms: 2n + -1n = 1n 5m + -10n + -1(1n) = 0 Remove parenthesis around (1n) 5m + -10n + -1 * 1n = 0 Multiply -1 * 1 5m + -10n + -1n = 0 Combine like terms: -10n + -1n = -11n 5m + -11n = 0 Solving 5m + -11n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '11n' to each side of the equation. 5m + -11n + 11n = 0 + 11n Combine like terms: -11n + 11n = 0 5m + 0 = 0 + 11n 5m = 0 + 11n Remove the zero: 5m = 11n Divide each side by '5'. m = 2.2n Simplifying m = 2.2n
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