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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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