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Simplifying 6(n + -3) = 2n + 9 + n Reorder the terms: 6(-3 + n) = 2n + 9 + n (-3 * 6 + n * 6) = 2n + 9 + n (-18 + 6n) = 2n + 9 + n Reorder the terms: -18 + 6n = 9 + 2n + n Combine like terms: 2n + n = 3n -18 + 6n = 9 + 3n Solving -18 + 6n = 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. -18 + 6n + -3n = 9 + 3n + -3n Combine like terms: 6n + -3n = 3n -18 + 3n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -18 + 3n = 9 + 0 -18 + 3n = 9 Add '18' to each side of the equation. -18 + 18 + 3n = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 3n = 9 + 18 3n = 9 + 18 Combine like terms: 9 + 18 = 27 3n = 27 Divide each side by '3'. n = 9 Simplifying n = 9
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