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Simplifying -2n + 4(3 + -1n) = 2(2n + 46) -2n + (3 * 4 + -1n * 4) = 2(2n + 46) -2n + (12 + -4n) = 2(2n + 46) Reorder the terms: 12 + -2n + -4n = 2(2n + 46) Combine like terms: -2n + -4n = -6n 12 + -6n = 2(2n + 46) Reorder the terms: 12 + -6n = 2(46 + 2n) 12 + -6n = (46 * 2 + 2n * 2) 12 + -6n = (92 + 4n) Solving 12 + -6n = 92 + 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. 12 + -6n + -4n = 92 + 4n + -4n Combine like terms: -6n + -4n = -10n 12 + -10n = 92 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + -10n = 92 + 0 12 + -10n = 92 Add '-12' to each side of the equation. 12 + -12 + -10n = 92 + -12 Combine like terms: 12 + -12 = 0 0 + -10n = 92 + -12 -10n = 92 + -12 Combine like terms: 92 + -12 = 80 -10n = 80 Divide each side by '-10'. n = -8 Simplifying n = -8
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