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Simplifying 14 + 8n = -3(1 + 3n) 14 + 8n = (1 * -3 + 3n * -3) 14 + 8n = (-3 + -9n) Solving 14 + 8n = -3 + -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 + 8n + 9n = -3 + -9n + 9n Combine like terms: 8n + 9n = 17n 14 + 17n = -3 + -9n + 9n Combine like terms: -9n + 9n = 0 14 + 17n = -3 + 0 14 + 17n = -3 Add '-14' to each side of the equation. 14 + -14 + 17n = -3 + -14 Combine like terms: 14 + -14 = 0 0 + 17n = -3 + -14 17n = -3 + -14 Combine like terms: -3 + -14 = -17 17n = -17 Divide each side by '17'. n = -1 Simplifying n = -1
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