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Simplifying 2(-4n + 2) = 2n + 14 Reorder the terms: 2(2 + -4n) = 2n + 14 (2 * 2 + -4n * 2) = 2n + 14 (4 + -8n) = 2n + 14 Reorder the terms: 4 + -8n = 14 + 2n Solving 4 + -8n = 14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + -8n + -2n = 14 + 2n + -2n Combine like terms: -8n + -2n = -10n 4 + -10n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + -10n = 14 + 0 4 + -10n = 14 Add '-4' to each side of the equation. 4 + -4 + -10n = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -10n = 14 + -4 -10n = 14 + -4 Combine like terms: 14 + -4 = 10 -10n = 10 Divide each side by '-10'. n = -1 Simplifying n = -1
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