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Simplifying -6(1 + -4n) = -8(5n + -8) + -6n (1 * -6 + -4n * -6) = -8(5n + -8) + -6n (-6 + 24n) = -8(5n + -8) + -6n Reorder the terms: -6 + 24n = -8(-8 + 5n) + -6n -6 + 24n = (-8 * -8 + 5n * -8) + -6n -6 + 24n = (64 + -40n) + -6n Combine like terms: -40n + -6n = -46n -6 + 24n = 64 + -46n Solving -6 + 24n = 64 + -46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46n' to each side of the equation. -6 + 24n + 46n = 64 + -46n + 46n Combine like terms: 24n + 46n = 70n -6 + 70n = 64 + -46n + 46n Combine like terms: -46n + 46n = 0 -6 + 70n = 64 + 0 -6 + 70n = 64 Add '6' to each side of the equation. -6 + 6 + 70n = 64 + 6 Combine like terms: -6 + 6 = 0 0 + 70n = 64 + 6 70n = 64 + 6 Combine like terms: 64 + 6 = 70 70n = 70 Divide each side by '70'. n = 1 Simplifying n = 1
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