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Simplifying 3(n + -1) = 21 + 6n Reorder the terms: 3(-1 + n) = 21 + 6n (-1 * 3 + n * 3) = 21 + 6n (-3 + 3n) = 21 + 6n Solving -3 + 3n = 21 + 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. -3 + 3n + -6n = 21 + 6n + -6n Combine like terms: 3n + -6n = -3n -3 + -3n = 21 + 6n + -6n Combine like terms: 6n + -6n = 0 -3 + -3n = 21 + 0 -3 + -3n = 21 Add '3' to each side of the equation. -3 + 3 + -3n = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -3n = 21 + 3 -3n = 21 + 3 Combine like terms: 21 + 3 = 24 -3n = 24 Divide each side by '-3'. n = -8 Simplifying n = -8
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