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Simplifying f(a + 1) = (a + 1) + 8 Reorder the terms: f(1 + a) = (a + 1) + 8 (1 * f + a * f) = (a + 1) + 8 Reorder the terms: (af + 1f) = (a + 1) + 8 (af + 1f) = (a + 1) + 8 Reorder the terms: af + 1f = (1 + a) + 8 Remove parenthesis around (1 + a) af + 1f = 1 + a + 8 Reorder the terms: af + 1f = 1 + 8 + a Combine like terms: 1 + 8 = 9 af + 1f = 9 + a Solving af + 1f = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. af + -1a + 1f = 9 + a + -1a Reorder the terms: -1a + af + 1f = 9 + a + -1a Combine like terms: a + -1a = 0 -1a + af + 1f = 9 + 0 -1a + af + 1f = 9 Add '-1f' to each side of the equation. -1a + af + 1f + -1f = 9 + -1f Combine like terms: 1f + -1f = 0 -1a + af + 0 = 9 + -1f -1a + af = 9 + -1f Reorder the terms: -9 + -1a + af + f = 9 + -1f + -9 + f Reorder the terms: -9 + -1a + af + f = 9 + -9 + -1f + f Combine like terms: 9 + -9 = 0 -9 + -1a + af + f = 0 + -1f + f -9 + -1a + af + f = -1f + f Combine like terms: -1f + f = 0 -9 + -1a + af + f = 0 The solution to this equation could not be determined.
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