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Simplifying -233 = 7(1 + -8n) + -4n -233 = (1 * 7 + -8n * 7) + -4n -233 = (7 + -56n) + -4n Combine like terms: -56n + -4n = -60n -233 = 7 + -60n Solving -233 = 7 + -60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '60n' to each side of the equation. -233 + 60n = 7 + -60n + 60n Combine like terms: -60n + 60n = 0 -233 + 60n = 7 + 0 -233 + 60n = 7 Add '233' to each side of the equation. -233 + 233 + 60n = 7 + 233 Combine like terms: -233 + 233 = 0 0 + 60n = 7 + 233 60n = 7 + 233 Combine like terms: 7 + 233 = 240 60n = 240 Divide each side by '60'. n = 4 Simplifying n = 4
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