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Simplifying 3(n + -5) = 14 + -6n Reorder the terms: 3(-5 + n) = 14 + -6n (-5 * 3 + n * 3) = 14 + -6n (-15 + 3n) = 14 + -6n Solving -15 + 3n = 14 + -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. -15 + 3n + 6n = 14 + -6n + 6n Combine like terms: 3n + 6n = 9n -15 + 9n = 14 + -6n + 6n Combine like terms: -6n + 6n = 0 -15 + 9n = 14 + 0 -15 + 9n = 14 Add '15' to each side of the equation. -15 + 15 + 9n = 14 + 15 Combine like terms: -15 + 15 = 0 0 + 9n = 14 + 15 9n = 14 + 15 Combine like terms: 14 + 15 = 29 9n = 29 Divide each side by '9'. n = 3.222222222 Simplifying n = 3.222222222
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