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Simplifying f(a + 1) = 4x + -8 Reorder the terms: f(1 + a) = 4x + -8 (1 * f + a * f) = 4x + -8 Reorder the terms: (af + 1f) = 4x + -8 (af + 1f) = 4x + -8 Reorder the terms: af + 1f = -8 + 4x Solving af + 1f = -8 + 4x 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 = -8 + -1f + 4x Combine like terms: 1f + -1f = 0 af + 0 = -8 + -1f + 4x af = -8 + -1f + 4x Divide each side by 'f'. a = -8f-1 + -1 + 4f-1x Simplifying a = -8f-1 + -1 + 4f-1x Reorder the terms: a = -1 + -8f-1 + 4f-1x
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