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Simplifying 14 + 3n = 8 + -3(n + -4) Reorder the terms: 14 + 3n = 8 + -3(-4 + n) 14 + 3n = 8 + (-4 * -3 + n * -3) 14 + 3n = 8 + (12 + -3n) Combine like terms: 8 + 12 = 20 14 + 3n = 20 + -3n Solving 14 + 3n = 20 + -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. 14 + 3n + 3n = 20 + -3n + 3n Combine like terms: 3n + 3n = 6n 14 + 6n = 20 + -3n + 3n Combine like terms: -3n + 3n = 0 14 + 6n = 20 + 0 14 + 6n = 20 Add '-14' to each side of the equation. 14 + -14 + 6n = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 6n = 20 + -14 6n = 20 + -14 Combine like terms: 20 + -14 = 6 6n = 6 Divide each side by '6'. n = 1 Simplifying n = 1
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