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Simplifying f(3a + -1) = 12a + -7 Reorder the terms: f(-1 + 3a) = 12a + -7 (-1 * f + 3a * f) = 12a + -7 Reorder the terms: (3af + -1f) = 12a + -7 (3af + -1f) = 12a + -7 Reorder the terms: 3af + -1f = -7 + 12a Solving 3af + -1f = -7 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 3af + -12a + -1f = -7 + 12a + -12a Reorder the terms: -12a + 3af + -1f = -7 + 12a + -12a Combine like terms: 12a + -12a = 0 -12a + 3af + -1f = -7 + 0 -12a + 3af + -1f = -7 Add 'f' to each side of the equation. -12a + 3af + -1f + f = -7 + f Combine like terms: -1f + f = 0 -12a + 3af + 0 = -7 + f -12a + 3af = -7 + f Reorder the terms: 7 + -12a + 3af + -1f = -7 + f + 7 + -1f Reorder the terms: 7 + -12a + 3af + -1f = -7 + 7 + f + -1f Combine like terms: -7 + 7 = 0 7 + -12a + 3af + -1f = 0 + f + -1f 7 + -12a + 3af + -1f = f + -1f Combine like terms: f + -1f = 0 7 + -12a + 3af + -1f = 0 The solution to this equation could not be determined.
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