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Simplifying -2n + 8 = 8(5n + 1) Reorder the terms: 8 + -2n = 8(5n + 1) Reorder the terms: 8 + -2n = 8(1 + 5n) 8 + -2n = (1 * 8 + 5n * 8) 8 + -2n = (8 + 40n) Add '-8' to each side of the equation. 8 + -8 + -2n = 8 + -8 + 40n Combine like terms: 8 + -8 = 0 0 + -2n = 8 + -8 + 40n -2n = 8 + -8 + 40n Combine like terms: 8 + -8 = 0 -2n = 0 + 40n -2n = 40n Solving -2n = 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. -2n + -40n = 40n + -40n Combine like terms: -2n + -40n = -42n -42n = 40n + -40n Combine like terms: 40n + -40n = 0 -42n = 0 Divide each side by '-42'. n = 0 Simplifying n = 0
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