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Simplifying 14 + 3n = -8n + -1(n + -4) Reorder the terms: 14 + 3n = -8n + -1(-4 + n) 14 + 3n = -8n + (-4 * -1 + n * -1) 14 + 3n = -8n + (4 + -1n) Reorder the terms: 14 + 3n = 4 + -8n + -1n Combine like terms: -8n + -1n = -9n 14 + 3n = 4 + -9n Solving 14 + 3n = 4 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 14 + 3n + 9n = 4 + -9n + 9n Combine like terms: 3n + 9n = 12n 14 + 12n = 4 + -9n + 9n Combine like terms: -9n + 9n = 0 14 + 12n = 4 + 0 14 + 12n = 4 Add '-14' to each side of the equation. 14 + -14 + 12n = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 12n = 4 + -14 12n = 4 + -14 Combine like terms: 4 + -14 = -10 12n = -10 Divide each side by '12'. n = -0.8333333333 Simplifying n = -0.8333333333
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