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Simplifying 3(2m + 3n) + -1(6m + 5n) = 0 (2m * 3 + 3n * 3) + -1(6m + 5n) = 0 (6m + 9n) + -1(6m + 5n) = 0 6m + 9n + (6m * -1 + 5n * -1) = 0 6m + 9n + (-6m + -5n) = 0 Reorder the terms: 6m + -6m + 9n + -5n = 0 Combine like terms: 6m + -6m = 0 0 + 9n + -5n = 0 9n + -5n = 0 Combine like terms: 9n + -5n = 4n 4n = 0 Solving 4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '4'. n = 0 Simplifying n = 0
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