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Simplifying -2n + 4(2 + -1n) = 2(3n + 46) -2n + (2 * 4 + -1n * 4) = 2(3n + 46) -2n + (8 + -4n) = 2(3n + 46) Reorder the terms: 8 + -2n + -4n = 2(3n + 46) Combine like terms: -2n + -4n = -6n 8 + -6n = 2(3n + 46) Reorder the terms: 8 + -6n = 2(46 + 3n) 8 + -6n = (46 * 2 + 3n * 2) 8 + -6n = (92 + 6n) Solving 8 + -6n = 92 + 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 + -6n + -6n = 92 + 6n + -6n Combine like terms: -6n + -6n = -12n 8 + -12n = 92 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -12n = 92 + 0 8 + -12n = 92 Add '-8' to each side of the equation. 8 + -8 + -12n = 92 + -8 Combine like terms: 8 + -8 = 0 0 + -12n = 92 + -8 -12n = 92 + -8 Combine like terms: 92 + -8 = 84 -12n = 84 Divide each side by '-12'. n = -7 Simplifying n = -7
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