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Simplifying 3(2n + -9 + 6n) = 3n + 29 + -7n Reorder the terms: 3(-9 + 2n + 6n) = 3n + 29 + -7n Combine like terms: 2n + 6n = 8n 3(-9 + 8n) = 3n + 29 + -7n (-9 * 3 + 8n * 3) = 3n + 29 + -7n (-27 + 24n) = 3n + 29 + -7n Reorder the terms: -27 + 24n = 29 + 3n + -7n Combine like terms: 3n + -7n = -4n -27 + 24n = 29 + -4n Solving -27 + 24n = 29 + -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. -27 + 24n + 4n = 29 + -4n + 4n Combine like terms: 24n + 4n = 28n -27 + 28n = 29 + -4n + 4n Combine like terms: -4n + 4n = 0 -27 + 28n = 29 + 0 -27 + 28n = 29 Add '27' to each side of the equation. -27 + 27 + 28n = 29 + 27 Combine like terms: -27 + 27 = 0 0 + 28n = 29 + 27 28n = 29 + 27 Combine like terms: 29 + 27 = 56 28n = 56 Divide each side by '28'. n = 2 Simplifying n = 2
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