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Simplifying f(5a) + 3 = f(3a) + 117 Remove parenthesis around (5a) f * 5a + 3 = f(3a) + 117 Reorder the terms for easier multiplication: 5f * a + 3 = f(3a) + 117 Multiply f * a 5af + 3 = f(3a) + 117 Reorder the terms: 3 + 5af = f(3a) + 117 Remove parenthesis around (3a) 3 + 5af = f * 3a + 117 Reorder the terms for easier multiplication: 3 + 5af = 3f * a + 117 Multiply f * a 3 + 5af = 3af + 117 Reorder the terms: 3 + 5af = 117 + 3af Solving 3 + 5af = 117 + 3af Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3af' to each side of the equation. 3 + 5af + -3af = 117 + 3af + -3af Combine like terms: 5af + -3af = 2af 3 + 2af = 117 + 3af + -3af Combine like terms: 3af + -3af = 0 3 + 2af = 117 + 0 3 + 2af = 117 Add '-3' to each side of the equation. 3 + -3 + 2af = 117 + -3 Combine like terms: 3 + -3 = 0 0 + 2af = 117 + -3 2af = 117 + -3 Combine like terms: 117 + -3 = 114 2af = 114 Divide each side by '2f'. a = 57f-1 Simplifying a = 57f-1
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