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Simplifying 3(f + 12) + a = 5f Reorder the terms: 3(12 + f) + a = 5f (12 * 3 + f * 3) + a = 5f (36 + 3f) + a = 5f Reorder the terms: 36 + a + 3f = 5f Solving 36 + a + 3f = 5f Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + a + -36 + 3f = -36 + 5f Reorder the terms: 36 + -36 + a + 3f = -36 + 5f Combine like terms: 36 + -36 = 0 0 + a + 3f = -36 + 5f a + 3f = -36 + 5f Add '-3f' to each side of the equation. a + 3f + -3f = -36 + 5f + -3f Combine like terms: 3f + -3f = 0 a + 0 = -36 + 5f + -3f a = -36 + 5f + -3f Combine like terms: 5f + -3f = 2f a = -36 + 2f Simplifying a = -36 + 2f
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