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Simplifying an + 2 = 7an + 1 + -10an Reorder the terms: 2 + an = 7an + 1 + -10an Reorder the terms: 2 + an = 1 + 7an + -10an Combine like terms: 7an + -10an = -3an 2 + an = 1 + -3an Solving 2 + an = 1 + -3an Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3an' to each side of the equation. 2 + an + 3an = 1 + -3an + 3an Combine like terms: an + 3an = 4an 2 + 4an = 1 + -3an + 3an Combine like terms: -3an + 3an = 0 2 + 4an = 1 + 0 2 + 4an = 1 Add '-2' to each side of the equation. 2 + -2 + 4an = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 4an = 1 + -2 4an = 1 + -2 Combine like terms: 1 + -2 = -1 4an = -1 Divide each side by '4n'. a = -0.25n-1 Simplifying a = -0.25n-1
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