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Simplifying -2n + 2(7 + -8n) = -8n + -6 -2n + (7 * 2 + -8n * 2) = -8n + -6 -2n + (14 + -16n) = -8n + -6 Reorder the terms: 14 + -2n + -16n = -8n + -6 Combine like terms: -2n + -16n = -18n 14 + -18n = -8n + -6 Reorder the terms: 14 + -18n = -6 + -8n Solving 14 + -18n = -6 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 14 + -18n + 8n = -6 + -8n + 8n Combine like terms: -18n + 8n = -10n 14 + -10n = -6 + -8n + 8n Combine like terms: -8n + 8n = 0 14 + -10n = -6 + 0 14 + -10n = -6 Add '-14' to each side of the equation. 14 + -14 + -10n = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -10n = -6 + -14 -10n = -6 + -14 Combine like terms: -6 + -14 = -20 -10n = -20 Divide each side by '-10'. n = 2 Simplifying n = 2
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