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Simplifying -8(1 + 5n) = 3n + 35 (1 * -8 + 5n * -8) = 3n + 35 (-8 + -40n) = 3n + 35 Reorder the terms: -8 + -40n = 35 + 3n Solving -8 + -40n = 35 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -8 + -40n + -3n = 35 + 3n + -3n Combine like terms: -40n + -3n = -43n -8 + -43n = 35 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + -43n = 35 + 0 -8 + -43n = 35 Add '8' to each side of the equation. -8 + 8 + -43n = 35 + 8 Combine like terms: -8 + 8 = 0 0 + -43n = 35 + 8 -43n = 35 + 8 Combine like terms: 35 + 8 = 43 -43n = 43 Divide each side by '-43'. n = -1 Simplifying n = -1
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