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Simplifying an + -1(3an + -1) = n Reorder the terms: an + -1(-1 + 3an) = n an + (-1 * -1 + 3an * -1) = n an + (1 + -3an) = n Reorder the terms: 1 + an + -3an = n Combine like terms: an + -3an = -2an 1 + -2an = n Solving 1 + -2an = n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2an = -1 + n Combine like terms: 1 + -1 = 0 0 + -2an = -1 + n -2an = -1 + n Divide each side by '-2n'. a = 0.5n-1 + -0.5 Simplifying a = 0.5n-1 + -0.5 Reorder the terms: a = -0.5 + 0.5n-1
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