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Simplifying 5(n + 3) = 3(1 + -2n) Reorder the terms: 5(3 + n) = 3(1 + -2n) (3 * 5 + n * 5) = 3(1 + -2n) (15 + 5n) = 3(1 + -2n) 15 + 5n = (1 * 3 + -2n * 3) 15 + 5n = (3 + -6n) Solving 15 + 5n = 3 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 15 + 5n + 6n = 3 + -6n + 6n Combine like terms: 5n + 6n = 11n 15 + 11n = 3 + -6n + 6n Combine like terms: -6n + 6n = 0 15 + 11n = 3 + 0 15 + 11n = 3 Add '-15' to each side of the equation. 15 + -15 + 11n = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 11n = 3 + -15 11n = 3 + -15 Combine like terms: 3 + -15 = -12 11n = -12 Divide each side by '11'. n = -1.090909091 Simplifying n = -1.090909091
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