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Simplifying 126 = 8(1 + -5n) + -2 126 = (1 * 8 + -5n * 8) + -2 126 = (8 + -40n) + -2 Reorder the terms: 126 = 8 + -2 + -40n Combine like terms: 8 + -2 = 6 126 = 6 + -40n Solving 126 = 6 + -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. 126 + 40n = 6 + -40n + 40n Combine like terms: -40n + 40n = 0 126 + 40n = 6 + 0 126 + 40n = 6 Add '-126' to each side of the equation. 126 + -126 + 40n = 6 + -126 Combine like terms: 126 + -126 = 0 0 + 40n = 6 + -126 40n = 6 + -126 Combine like terms: 6 + -126 = -120 40n = -120 Divide each side by '40'. n = -3 Simplifying n = -3
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