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Simplifying f(a + 5) = 7(a + 5) + 2 Reorder the terms: f(5 + a) = 7(a + 5) + 2 (5 * f + a * f) = 7(a + 5) + 2 Reorder the terms: (af + 5f) = 7(a + 5) + 2 (af + 5f) = 7(a + 5) + 2 Reorder the terms: af + 5f = 7(5 + a) + 2 af + 5f = (5 * 7 + a * 7) + 2 af + 5f = (35 + 7a) + 2 Reorder the terms: af + 5f = 35 + 2 + 7a Combine like terms: 35 + 2 = 37 af + 5f = 37 + 7a Solving af + 5f = 37 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. af + -7a + 5f = 37 + 7a + -7a Reorder the terms: -7a + af + 5f = 37 + 7a + -7a Combine like terms: 7a + -7a = 0 -7a + af + 5f = 37 + 0 -7a + af + 5f = 37 Add '-5f' to each side of the equation. -7a + af + 5f + -5f = 37 + -5f Combine like terms: 5f + -5f = 0 -7a + af + 0 = 37 + -5f -7a + af = 37 + -5f Reorder the terms: -37 + -7a + af + 5f = 37 + -5f + -37 + 5f Reorder the terms: -37 + -7a + af + 5f = 37 + -37 + -5f + 5f Combine like terms: 37 + -37 = 0 -37 + -7a + af + 5f = 0 + -5f + 5f -37 + -7a + af + 5f = -5f + 5f Combine like terms: -5f + 5f = 0 -37 + -7a + af + 5f = 0 The solution to this equation could not be determined.
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