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Simplifying 3(n + -1) = 8(3 + -3n) Reorder the terms: 3(-1 + n) = 8(3 + -3n) (-1 * 3 + n * 3) = 8(3 + -3n) (-3 + 3n) = 8(3 + -3n) -3 + 3n = (3 * 8 + -3n * 8) -3 + 3n = (24 + -24n) Solving -3 + 3n = 24 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -3 + 3n + 24n = 24 + -24n + 24n Combine like terms: 3n + 24n = 27n -3 + 27n = 24 + -24n + 24n Combine like terms: -24n + 24n = 0 -3 + 27n = 24 + 0 -3 + 27n = 24 Add '3' to each side of the equation. -3 + 3 + 27n = 24 + 3 Combine like terms: -3 + 3 = 0 0 + 27n = 24 + 3 27n = 24 + 3 Combine like terms: 24 + 3 = 27 27n = 27 Divide each side by '27'. n = 1 Simplifying n = 1
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