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Simplifying -2n + 4(4 + -1n) = 2(2n + 48) -2n + (4 * 4 + -1n * 4) = 2(2n + 48) -2n + (16 + -4n) = 2(2n + 48) Reorder the terms: 16 + -2n + -4n = 2(2n + 48) Combine like terms: -2n + -4n = -6n 16 + -6n = 2(2n + 48) Reorder the terms: 16 + -6n = 2(48 + 2n) 16 + -6n = (48 * 2 + 2n * 2) 16 + -6n = (96 + 4n) Solving 16 + -6n = 96 + 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. 16 + -6n + -4n = 96 + 4n + -4n Combine like terms: -6n + -4n = -10n 16 + -10n = 96 + 4n + -4n Combine like terms: 4n + -4n = 0 16 + -10n = 96 + 0 16 + -10n = 96 Add '-16' to each side of the equation. 16 + -16 + -10n = 96 + -16 Combine like terms: 16 + -16 = 0 0 + -10n = 96 + -16 -10n = 96 + -16 Combine like terms: 96 + -16 = 80 -10n = 80 Divide each side by '-10'. n = -8 Simplifying n = -8
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