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Simplifying f(a + 1) = -2x2 + 1 Reorder the terms: f(1 + a) = -2x2 + 1 (1 * f + a * f) = -2x2 + 1 Reorder the terms: (af + 1f) = -2x2 + 1 (af + 1f) = -2x2 + 1 Reorder the terms: af + 1f = 1 + -2x2 Solving af + 1f = 1 + -2x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1f' to each side of the equation. af + 1f + -1f = 1 + -1f + -2x2 Combine like terms: 1f + -1f = 0 af + 0 = 1 + -1f + -2x2 af = 1 + -1f + -2x2 Divide each side by 'f'. a = f-1 + -1 + -2f-1x2 Simplifying a = f-1 + -1 + -2f-1x2 Reorder the terms: a = -1 + f-1 + -2f-1x2
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