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Simplifying -2n + 4(2 + -1n) = 2(2n + 44) -2n + (2 * 4 + -1n * 4) = 2(2n + 44) -2n + (8 + -4n) = 2(2n + 44) Reorder the terms: 8 + -2n + -4n = 2(2n + 44) Combine like terms: -2n + -4n = -6n 8 + -6n = 2(2n + 44) Reorder the terms: 8 + -6n = 2(44 + 2n) 8 + -6n = (44 * 2 + 2n * 2) 8 + -6n = (88 + 4n) Solving 8 + -6n = 88 + 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 = 88 + 4n + -4n Combine like terms: -6n + -4n = -10n 8 + -10n = 88 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + -10n = 88 + 0 8 + -10n = 88 Add '-8' to each side of the equation. 8 + -8 + -10n = 88 + -8 Combine like terms: 8 + -8 = 0 0 + -10n = 88 + -8 -10n = 88 + -8 Combine like terms: 88 + -8 = 80 -10n = 80 Divide each side by '-10'. n = -8 Simplifying n = -8
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