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Simplifying 6(7n + 4) + -3(5 + n) = 9 Reorder the terms: 6(4 + 7n) + -3(5 + n) = 9 (4 * 6 + 7n * 6) + -3(5 + n) = 9 (24 + 42n) + -3(5 + n) = 9 24 + 42n + (5 * -3 + n * -3) = 9 24 + 42n + (-15 + -3n) = 9 Reorder the terms: 24 + -15 + 42n + -3n = 9 Combine like terms: 24 + -15 = 9 9 + 42n + -3n = 9 Combine like terms: 42n + -3n = 39n 9 + 39n = 9 Add '-9' to each side of the equation. 9 + -9 + 39n = 9 + -9 Combine like terms: 9 + -9 = 0 0 + 39n = 9 + -9 39n = 9 + -9 Combine like terms: 9 + -9 = 0 39n = 0 Solving 39n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Divide each side by '39'. n = 0 Simplifying n = 0
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