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Simplifying 5 + 5(6n + 3) = 4n + -6 Reorder the terms: 5 + 5(3 + 6n) = 4n + -6 5 + (3 * 5 + 6n * 5) = 4n + -6 5 + (15 + 30n) = 4n + -6 Combine like terms: 5 + 15 = 20 20 + 30n = 4n + -6 Reorder the terms: 20 + 30n = -6 + 4n Solving 20 + 30n = -6 + 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. 20 + 30n + -4n = -6 + 4n + -4n Combine like terms: 30n + -4n = 26n 20 + 26n = -6 + 4n + -4n Combine like terms: 4n + -4n = 0 20 + 26n = -6 + 0 20 + 26n = -6 Add '-20' to each side of the equation. 20 + -20 + 26n = -6 + -20 Combine like terms: 20 + -20 = 0 0 + 26n = -6 + -20 26n = -6 + -20 Combine like terms: -6 + -20 = -26 26n = -26 Divide each side by '26'. n = -1 Simplifying n = -1
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