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Simplifying A + -8n + 4(1 + 5n) = -6n + -14 A + -8n + (1 * 4 + 5n * 4) = -6n + -14 A + -8n + (4 + 20n) = -6n + -14 Reorder the terms: 4 + A + -8n + 20n = -6n + -14 Combine like terms: -8n + 20n = 12n 4 + A + 12n = -6n + -14 Reorder the terms: 4 + A + 12n = -14 + -6n Solving 4 + A + 12n = -14 + -6n Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + A + -4 + 12n = -14 + -4 + -6n Reorder the terms: 4 + -4 + A + 12n = -14 + -4 + -6n Combine like terms: 4 + -4 = 0 0 + A + 12n = -14 + -4 + -6n A + 12n = -14 + -4 + -6n Combine like terms: -14 + -4 = -18 A + 12n = -18 + -6n Add '-12n' to each side of the equation. A + 12n + -12n = -18 + -6n + -12n Combine like terms: 12n + -12n = 0 A + 0 = -18 + -6n + -12n A = -18 + -6n + -12n Combine like terms: -6n + -12n = -18n A = -18 + -18n Simplifying A = -18 + -18n
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