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Simplifying -8n + 5(1 + -8n) = 5 + -6n -8n + (1 * 5 + -8n * 5) = 5 + -6n -8n + (5 + -40n) = 5 + -6n Reorder the terms: 5 + -8n + -40n = 5 + -6n Combine like terms: -8n + -40n = -48n 5 + -48n = 5 + -6n Add '-5' to each side of the equation. 5 + -5 + -48n = 5 + -5 + -6n Combine like terms: 5 + -5 = 0 0 + -48n = 5 + -5 + -6n -48n = 5 + -5 + -6n Combine like terms: 5 + -5 = 0 -48n = 0 + -6n -48n = -6n Solving -48n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -48n + 6n = -6n + 6n Combine like terms: -48n + 6n = -42n -42n = -6n + 6n Combine like terms: -6n + 6n = 0 -42n = 0 Divide each side by '-42'. n = 0 Simplifying n = 0
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