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Simplifying 1 + -5(1 + -8n) = 116 1 + (1 * -5 + -8n * -5) = 116 1 + (-5 + 40n) = 116 Combine like terms: 1 + -5 = -4 -4 + 40n = 116 Solving -4 + 40n = 116 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 40n = 116 + 4 Combine like terms: -4 + 4 = 0 0 + 40n = 116 + 4 40n = 116 + 4 Combine like terms: 116 + 4 = 120 40n = 120 Divide each side by '40'. n = 3 Simplifying n = 3
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