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Simplifying f(a + 1) = 9(a + 1) + -4 Reorder the terms: f(1 + a) = 9(a + 1) + -4 (1 * f + a * f) = 9(a + 1) + -4 Reorder the terms: (af + 1f) = 9(a + 1) + -4 (af + 1f) = 9(a + 1) + -4 Reorder the terms: af + 1f = 9(1 + a) + -4 af + 1f = (1 * 9 + a * 9) + -4 af + 1f = (9 + 9a) + -4 Reorder the terms: af + 1f = 9 + -4 + 9a Combine like terms: 9 + -4 = 5 af + 1f = 5 + 9a Solving af + 1f = 5 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. af + -9a + 1f = 5 + 9a + -9a Reorder the terms: -9a + af + 1f = 5 + 9a + -9a Combine like terms: 9a + -9a = 0 -9a + af + 1f = 5 + 0 -9a + af + 1f = 5 Add '-1f' to each side of the equation. -9a + af + 1f + -1f = 5 + -1f Combine like terms: 1f + -1f = 0 -9a + af + 0 = 5 + -1f -9a + af = 5 + -1f Reorder the terms: -5 + -9a + af + f = 5 + -1f + -5 + f Reorder the terms: -5 + -9a + af + f = 5 + -5 + -1f + f Combine like terms: 5 + -5 = 0 -5 + -9a + af + f = 0 + -1f + f -5 + -9a + af + f = -1f + f Combine like terms: -1f + f = 0 -5 + -9a + af + f = 0 The solution to this equation could not be determined.
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