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Simplifying -9(-5 + 3a) = 5(3 + 5a) (-5 * -9 + 3a * -9) = 5(3 + 5a) (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 = -52a 45 + -52a = 15 + 25a + -25a Combine like terms: 25a + -25a = 0 45 + -52a = 15 + 0 45 + -52a = 15 Add '-45' to each side of the equation. 45 + -45 + -52a = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -52a = 15 + -45 -52a = 15 + -45 Combine like terms: 15 + -45 = -30 -52a = -30 Divide each side by '-52'. a = 0.5769230769 Simplifying a = 0.5769230769
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