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Simplifying f(a + 6) = 5 + -5(a + 6) Reorder the terms: f(6 + a) = 5 + -5(a + 6) (6 * f + a * f) = 5 + -5(a + 6) Reorder the terms: (af + 6f) = 5 + -5(a + 6) (af + 6f) = 5 + -5(a + 6) Reorder the terms: af + 6f = 5 + -5(6 + a) af + 6f = 5 + (6 * -5 + a * -5) af + 6f = 5 + (-30 + -5a) Combine like terms: 5 + -30 = -25 af + 6f = -25 + -5a Solving af + 6f = -25 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. af + 5a + 6f = -25 + -5a + 5a Reorder the terms: 5a + af + 6f = -25 + -5a + 5a Combine like terms: -5a + 5a = 0 5a + af + 6f = -25 + 0 5a + af + 6f = -25 Add '-6f' to each side of the equation. 5a + af + 6f + -6f = -25 + -6f Combine like terms: 6f + -6f = 0 5a + af + 0 = -25 + -6f 5a + af = -25 + -6f Reorder the terms: 25 + 5a + af + 6f = -25 + -6f + 25 + 6f Reorder the terms: 25 + 5a + af + 6f = -25 + 25 + -6f + 6f Combine like terms: -25 + 25 = 0 25 + 5a + af + 6f = 0 + -6f + 6f 25 + 5a + af + 6f = -6f + 6f Combine like terms: -6f + 6f = 0 25 + 5a + af + 6f = 0 The solution to this equation could not be determined.
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