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Simplifying 3(5 + 3n) = 2 + -4n (5 * 3 + 3n * 3) = 2 + -4n (15 + 9n) = 2 + -4n Solving 15 + 9n = 2 + -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. 15 + 9n + 4n = 2 + -4n + 4n Combine like terms: 9n + 4n = 13n 15 + 13n = 2 + -4n + 4n Combine like terms: -4n + 4n = 0 15 + 13n = 2 + 0 15 + 13n = 2 Add '-15' to each side of the equation. 15 + -15 + 13n = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 13n = 2 + -15 13n = 2 + -15 Combine like terms: 2 + -15 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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