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Simplifying 2(-2n + 1) = -2(-8n + -1) + -6n Reorder the terms: 2(1 + -2n) = -2(-8n + -1) + -6n (1 * 2 + -2n * 2) = -2(-8n + -1) + -6n (2 + -4n) = -2(-8n + -1) + -6n Reorder the terms: 2 + -4n = -2(-1 + -8n) + -6n 2 + -4n = (-1 * -2 + -8n * -2) + -6n 2 + -4n = (2 + 16n) + -6n Combine like terms: 16n + -6n = 10n 2 + -4n = 2 + 10n Add '-2' to each side of the equation. 2 + -2 + -4n = 2 + -2 + 10n Combine like terms: 2 + -2 = 0 0 + -4n = 2 + -2 + 10n -4n = 2 + -2 + 10n Combine like terms: 2 + -2 = 0 -4n = 0 + 10n -4n = 10n Solving -4n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -4n + -10n = 10n + -10n Combine like terms: -4n + -10n = -14n -14n = 10n + -10n Combine like terms: 10n + -10n = 0 -14n = 0 Divide each side by '-14'. n = 0 Simplifying n = 0
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