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Simplifying -2n + 4(2 + -1n) = (4n + 32) -2n + (2 * 4 + -1n * 4) = (4n + 32) -2n + (8 + -4n) = (4n + 32) Reorder the terms: 8 + -2n + -4n = (4n + 32) Combine like terms: -2n + -4n = -6n 8 + -6n = (4n + 32) Reorder the terms: 8 + -6n = (32 + 4n) Remove parenthesis around (32 + 4n) 8 + -6n = 32 + 4n Solving 8 + -6n = 32 + 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 + -6n + -4n = 32 + 4n + -4n Combine like terms: -6n + -4n = -10n 8 + -10n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + -10n = 32 + 0 8 + -10n = 32 Add '-8' to each side of the equation. 8 + -8 + -10n = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -10n = 32 + -8 -10n = 32 + -8 Combine like terms: 32 + -8 = 24 -10n = 24 Divide each side by '-10'. n = -2.4 Simplifying n = -2.4
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