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Simplifying 7(1 + 4n) = 5(-3 + 4n) + 6n (1 * 7 + 4n * 7) = 5(-3 + 4n) + 6n (7 + 28n) = 5(-3 + 4n) + 6n 7 + 28n = (-3 * 5 + 4n * 5) + 6n 7 + 28n = (-15 + 20n) + 6n Combine like terms: 20n + 6n = 26n 7 + 28n = -15 + 26n Solving 7 + 28n = -15 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. 7 + 28n + -26n = -15 + 26n + -26n Combine like terms: 28n + -26n = 2n 7 + 2n = -15 + 26n + -26n Combine like terms: 26n + -26n = 0 7 + 2n = -15 + 0 7 + 2n = -15 Add '-7' to each side of the equation. 7 + -7 + 2n = -15 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = -15 + -7 2n = -15 + -7 Combine like terms: -15 + -7 = -22 2n = -22 Divide each side by '2'. n = -11 Simplifying n = -11
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