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Simplifying 12 + -4n + -2(n + -1) = 4(n + 4) Reorder the terms: 12 + -4n + -2(-1 + n) = 4(n + 4) 12 + -4n + (-1 * -2 + n * -2) = 4(n + 4) 12 + -4n + (2 + -2n) = 4(n + 4) Reorder the terms: 12 + 2 + -4n + -2n = 4(n + 4) Combine like terms: 12 + 2 = 14 14 + -4n + -2n = 4(n + 4) Combine like terms: -4n + -2n = -6n 14 + -6n = 4(n + 4) Reorder the terms: 14 + -6n = 4(4 + n) 14 + -6n = (4 * 4 + n * 4) 14 + -6n = (16 + 4n) Solving 14 + -6n = 16 + 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. 14 + -6n + -4n = 16 + 4n + -4n Combine like terms: -6n + -4n = -10n 14 + -10n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 14 + -10n = 16 + 0 14 + -10n = 16 Add '-14' to each side of the equation. 14 + -14 + -10n = 16 + -14 Combine like terms: 14 + -14 = 0 0 + -10n = 16 + -14 -10n = 16 + -14 Combine like terms: 16 + -14 = 2 -10n = 2 Divide each side by '-10'. n = -0.2 Simplifying n = -0.2
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