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