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Simplifying 2(-5n + 4) = 2(8 + 2n) Reorder the terms: 2(4 + -5n) = 2(8 + 2n) (4 * 2 + -5n * 2) = 2(8 + 2n) (8 + -10n) = 2(8 + 2n) 8 + -10n = (8 * 2 + 2n * 2) 8 + -10n = (16 + 4n) Solving 8 + -10n = 16 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 8 + -10n + -4n = 16 + 4n + -4n Combine like terms: -10n + -4n = -14n 8 + -14n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + -14n = 16 + 0 8 + -14n = 16 Add '-8' to each side of the equation. 8 + -8 + -14n = 16 + -8 Combine like terms: 8 + -8 = 0 0 + -14n = 16 + -8 -14n = 16 + -8 Combine like terms: 16 + -8 = 8 -14n = 8 Divide each side by '-14'. n = -0.5714285714 Simplifying n = -0.5714285714
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