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Simplifying 14 + 3n = -3(n + -4) Reorder the terms: 14 + 3n = -3(-4 + n) 14 + 3n = (-4 * -3 + n * -3) 14 + 3n = (12 + -3n) Solving 14 + 3n = 12 + -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 = 12 + -3n + 3n Combine like terms: 3n + 3n = 6n 14 + 6n = 12 + -3n + 3n Combine like terms: -3n + 3n = 0 14 + 6n = 12 + 0 14 + 6n = 12 Add '-14' to each side of the equation. 14 + -14 + 6n = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 6n = 12 + -14 6n = 12 + -14 Combine like terms: 12 + -14 = -2 6n = -2 Divide each side by '6'. n = -0.3333333333 Simplifying n = -0.3333333333
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