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Simplifying 108 = 8n + -4(1 + -2n) 108 = 8n + (1 * -4 + -2n * -4) 108 = 8n + (-4 + 8n) Reorder the terms: 108 = -4 + 8n + 8n Combine like terms: 8n + 8n = 16n 108 = -4 + 16n Solving 108 = -4 + 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. 108 + -16n = -4 + 16n + -16n Combine like terms: 16n + -16n = 0 108 + -16n = -4 + 0 108 + -16n = -4 Add '-108' to each side of the equation. 108 + -108 + -16n = -4 + -108 Combine like terms: 108 + -108 = 0 0 + -16n = -4 + -108 -16n = -4 + -108 Combine like terms: -4 + -108 = -112 -16n = -112 Divide each side by '-16'. n = 7 Simplifying n = 7
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