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Simplifying an + -4an + -1 + 4an + -2 = (n + 2) * 2 Reorder the terms: -1 + -2 + an + -4an + 4an = (n + 2) * 2 Combine like terms: -1 + -2 = -3 -3 + an + -4an + 4an = (n + 2) * 2 Combine like terms: an + -4an = -3an -3 + -3an + 4an = (n + 2) * 2 Combine like terms: -3an + 4an = 1an -3 + 1an = (n + 2) * 2 Reorder the terms: -3 + 1an = (2 + n) * 2 Reorder the terms for easier multiplication: -3 + 1an = 2(2 + n) -3 + 1an = (2 * 2 + n * 2) -3 + 1an = (4 + 2n) Solving -3 + 1an = 4 + 2n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1an = 4 + 3 + 2n Combine like terms: -3 + 3 = 0 0 + 1an = 4 + 3 + 2n 1an = 4 + 3 + 2n Combine like terms: 4 + 3 = 7 1an = 7 + 2n Divide each side by '1n'. a = 7n-1 + 2 Simplifying a = 7n-1 + 2 Reorder the terms: a = 2 + 7n-1
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