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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 = 7n 14 + 3n = 4 + 7n Solving 14 + 3n = 4 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 14 + 3n + -7n = 4 + 7n + -7n Combine like terms: 3n + -7n = -4n 14 + -4n = 4 + 7n + -7n Combine like terms: 7n + -7n = 0 14 + -4n = 4 + 0 14 + -4n = 4 Add '-14' to each side of the equation. 14 + -14 + -4n = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = 4 + -14 -4n = 4 + -14 Combine like terms: 4 + -14 = -10 -4n = -10 Divide each side by '-4'. n = 2.5 Simplifying n = 2.5
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