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Simplifying f(a + h) + -1f(a) = 2x2 + 3x + -7 (a * f + h * f) + -1f(a) = 2x2 + 3x + -7 (af + fh) + -1f(a) = 2x2 + 3x + -7 Multiply f * a af + fh + -1af = 2x2 + 3x + -7 Reorder the terms: af + -1af + fh = 2x2 + 3x + -7 Combine like terms: af + -1af = 0 0 + fh = 2x2 + 3x + -7 fh = 2x2 + 3x + -7 Reorder the terms: fh = -7 + 3x + 2x2 Solving fh = -7 + 3x + 2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'h'. f = -7h-1 + 3h-1x + 2h-1x2 Simplifying f = -7h-1 + 3h-1x + 2h-1x2
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