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Simplifying 6(n + 9) + -1(1 + 9n) = 4n Reorder the terms: 6(9 + n) + -1(1 + 9n) = 4n (9 * 6 + n * 6) + -1(1 + 9n) = 4n (54 + 6n) + -1(1 + 9n) = 4n 54 + 6n + (1 * -1 + 9n * -1) = 4n 54 + 6n + (-1 + -9n) = 4n Reorder the terms: 54 + -1 + 6n + -9n = 4n Combine like terms: 54 + -1 = 53 53 + 6n + -9n = 4n Combine like terms: 6n + -9n = -3n 53 + -3n = 4n Solving 53 + -3n = 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 53 + -3n + -4n = 4n + -4n Combine like terms: -3n + -4n = -7n 53 + -7n = 4n + -4n Combine like terms: 4n + -4n = 0 53 + -7n = 0 Add '-53' to each side of the equation. 53 + -53 + -7n = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -7n = 0 + -53 -7n = 0 + -53 Combine like terms: 0 + -53 = -53 -7n = -53 Divide each side by '-7'. n = 7.571428571 Simplifying n = 7.571428571
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