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Simplifying -2n + 4(1 + -1n) = 2(3n + 44) -2n + (1 * 4 + -1n * 4) = 2(3n + 44) -2n + (4 + -4n) = 2(3n + 44) Reorder the terms: 4 + -2n + -4n = 2(3n + 44) Combine like terms: -2n + -4n = -6n 4 + -6n = 2(3n + 44) Reorder the terms: 4 + -6n = 2(44 + 3n) 4 + -6n = (44 * 2 + 3n * 2) 4 + -6n = (88 + 6n) Solving 4 + -6n = 88 + 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. 4 + -6n + -6n = 88 + 6n + -6n Combine like terms: -6n + -6n = -12n 4 + -12n = 88 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + -12n = 88 + 0 4 + -12n = 88 Add '-4' to each side of the equation. 4 + -4 + -12n = 88 + -4 Combine like terms: 4 + -4 = 0 0 + -12n = 88 + -4 -12n = 88 + -4 Combine like terms: 88 + -4 = 84 -12n = 84 Divide each side by '-12'. n = -7 Simplifying n = -7
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