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Simplifying 4n + 3(5 + -1n) = 3(n + -3) 4n + (5 * 3 + -1n * 3) = 3(n + -3) 4n + (15 + -3n) = 3(n + -3) Reorder the terms: 15 + 4n + -3n = 3(n + -3) Combine like terms: 4n + -3n = 1n 15 + 1n = 3(n + -3) Reorder the terms: 15 + 1n = 3(-3 + n) 15 + 1n = (-3 * 3 + n * 3) 15 + 1n = (-9 + 3n) Solving 15 + 1n = -9 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 15 + 1n + -3n = -9 + 3n + -3n Combine like terms: 1n + -3n = -2n 15 + -2n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 15 + -2n = -9 + 0 15 + -2n = -9 Add '-15' to each side of the equation. 15 + -15 + -2n = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -2n = -9 + -15 -2n = -9 + -15 Combine like terms: -9 + -15 = -24 -2n = -24 Divide each side by '-2'. n = 12 Simplifying n = 12
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