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Simplifying 5(-8n + 8) = 40 + 2n Reorder the terms: 5(8 + -8n) = 40 + 2n (8 * 5 + -8n * 5) = 40 + 2n (40 + -40n) = 40 + 2n Add '-40' to each side of the equation. 40 + -40 + -40n = 40 + -40 + 2n Combine like terms: 40 + -40 = 0 0 + -40n = 40 + -40 + 2n -40n = 40 + -40 + 2n Combine like terms: 40 + -40 = 0 -40n = 0 + 2n -40n = 2n Solving -40n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -40n + -2n = 2n + -2n Combine like terms: -40n + -2n = -42n -42n = 2n + -2n Combine like terms: 2n + -2n = 0 -42n = 0 Divide each side by '-42'. n = 0 Simplifying n = 0
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