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Simplifying 4(5 + 4n) + -3(1 + 6n) = 0 (5 * 4 + 4n * 4) + -3(1 + 6n) = 0 (20 + 16n) + -3(1 + 6n) = 0 20 + 16n + (1 * -3 + 6n * -3) = 0 20 + 16n + (-3 + -18n) = 0 Reorder the terms: 20 + -3 + 16n + -18n = 0 Combine like terms: 20 + -3 = 17 17 + 16n + -18n = 0 Combine like terms: 16n + -18n = -2n 17 + -2n = 0 Solving 17 + -2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2n = 0 + -17 -2n = 0 + -17 Combine like terms: 0 + -17 = -17 -2n = -17 Divide each side by '-2'. n = 8.5 Simplifying n = 8.5
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