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Simplifying -8n + 4(1 + 5n) = 16n + -14 -8n + (1 * 4 + 5n * 4) = 16n + -14 -8n + (4 + 20n) = 16n + -14 Reorder the terms: 4 + -8n + 20n = 16n + -14 Combine like terms: -8n + 20n = 12n 4 + 12n = 16n + -14 Reorder the terms: 4 + 12n = -14 + 16n Solving 4 + 12n = -14 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 4 + 12n + -16n = -14 + 16n + -16n Combine like terms: 12n + -16n = -4n 4 + -4n = -14 + 16n + -16n Combine like terms: 16n + -16n = 0 4 + -4n = -14 + 0 4 + -4n = -14 Add '-4' to each side of the equation. 4 + -4 + -4n = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = -14 + -4 -4n = -14 + -4 Combine like terms: -14 + -4 = -18 -4n = -18 Divide each side by '-4'. n = 4.5 Simplifying n = 4.5
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