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Simplifying -111 = 5(1 + 8n) + 4 -111 = (1 * 5 + 8n * 5) + 4 -111 = (5 + 40n) + 4 Reorder the terms: -111 = 5 + 4 + 40n Combine like terms: 5 + 4 = 9 -111 = 9 + 40n Solving -111 = 9 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -111 + -40n = 9 + 40n + -40n Combine like terms: 40n + -40n = 0 -111 + -40n = 9 + 0 -111 + -40n = 9 Add '111' to each side of the equation. -111 + 111 + -40n = 9 + 111 Combine like terms: -111 + 111 = 0 0 + -40n = 9 + 111 -40n = 9 + 111 Combine like terms: 9 + 111 = 120 -40n = 120 Divide each side by '-40'. n = -3 Simplifying n = -3
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