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Simplifying 14 + 3n = 8n + -1(3n + -4) Reorder the terms: 14 + 3n = 8n + -1(-4 + 3n) 14 + 3n = 8n + (-4 * -1 + 3n * -1) 14 + 3n = 8n + (4 + -3n) Reorder the terms: 14 + 3n = 4 + 8n + -3n Combine like terms: 8n + -3n = 5n 14 + 3n = 4 + 5n Solving 14 + 3n = 4 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 14 + 3n + -5n = 4 + 5n + -5n Combine like terms: 3n + -5n = -2n 14 + -2n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + -2n = 4 + 0 14 + -2n = 4 Add '-14' to each side of the equation. 14 + -14 + -2n = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = 4 + -14 -2n = 4 + -14 Combine like terms: 4 + -14 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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