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Simplifying 7(1 + -8n) + -4n = 427 (1 * 7 + -8n * 7) + -4n = 427 (7 + -56n) + -4n = 427 Combine like terms: -56n + -4n = -60n 7 + -60n = 427 Solving 7 + -60n = 427 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -60n = 427 + -7 Combine like terms: 7 + -7 = 0 0 + -60n = 427 + -7 -60n = 427 + -7 Combine like terms: 427 + -7 = 420 -60n = 420 Divide each side by '-60'. n = -7 Simplifying n = -7
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