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Simplifying 9(3a + 5) = 5(5a + -3) Reorder the terms: 9(5 + 3a) = 5(5a + -3) (5 * 9 + 3a * 9) = 5(5a + -3) (45 + 27a) = 5(5a + -3) Reorder the terms: 45 + 27a = 5(-3 + 5a) 45 + 27a = (-3 * 5 + 5a * 5) 45 + 27a = (-15 + 25a) Solving 45 + 27a = -15 + 25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25a' to each side of the equation. 45 + 27a + -25a = -15 + 25a + -25a Combine like terms: 27a + -25a = 2a 45 + 2a = -15 + 25a + -25a Combine like terms: 25a + -25a = 0 45 + 2a = -15 + 0 45 + 2a = -15 Add '-45' to each side of the equation. 45 + -45 + 2a = -15 + -45 Combine like terms: 45 + -45 = 0 0 + 2a = -15 + -45 2a = -15 + -45 Combine like terms: -15 + -45 = -60 2a = -60 Divide each side by '2'. a = -30 Simplifying a = -30
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