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Simplifying f(a + h) = 4x2 + 4x + -5 (a * f + h * f) = 4x2 + 4x + -5 (af + fh) = 4x2 + 4x + -5 Reorder the terms: af + fh = -5 + 4x + 4x2 Solving af + fh = -5 + 4x + 4x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1fh' to each side of the equation. af + fh + -1fh = -5 + 4x + -1fh + 4x2 Combine like terms: fh + -1fh = 0 af + 0 = -5 + 4x + -1fh + 4x2 af = -5 + 4x + -1fh + 4x2 Reorder the terms: af = -5 + -1fh + 4x + 4x2 Divide each side by 'f'. a = -5f-1 + -1h + 4f-1x + 4f-1x2 Simplifying a = -5f-1 + -1h + 4f-1x + 4f-1x2 Reorder the terms: a = -5f-1 + 4f-1x + 4f-1x2 + -1h
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