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Simplifying 8(1 + -4n) = 34 + -6n (1 * 8 + -4n * 8) = 34 + -6n (8 + -32n) = 34 + -6n Solving 8 + -32n = 34 + -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. 8 + -32n + 6n = 34 + -6n + 6n Combine like terms: -32n + 6n = -26n 8 + -26n = 34 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + -26n = 34 + 0 8 + -26n = 34 Add '-8' to each side of the equation. 8 + -8 + -26n = 34 + -8 Combine like terms: 8 + -8 = 0 0 + -26n = 34 + -8 -26n = 34 + -8 Combine like terms: 34 + -8 = 26 -26n = 26 Divide each side by '-26'. n = -1 Simplifying n = -1
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