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Simplifying -3(8a + -9) = 5(9 + -5a) Reorder the terms: -3(-9 + 8a) = 5(9 + -5a) (-9 * -3 + 8a * -3) = 5(9 + -5a) (27 + -24a) = 5(9 + -5a) 27 + -24a = (9 * 5 + -5a * 5) 27 + -24a = (45 + -25a) Solving 27 + -24a = 45 + -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. 27 + -24a + 25a = 45 + -25a + 25a Combine like terms: -24a + 25a = 1a 27 + 1a = 45 + -25a + 25a Combine like terms: -25a + 25a = 0 27 + 1a = 45 + 0 27 + 1a = 45 Add '-27' to each side of the equation. 27 + -27 + 1a = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 1a = 45 + -27 1a = 45 + -27 Combine like terms: 45 + -27 = 18 1a = 18 Divide each side by '1'. a = 18 Simplifying a = 18
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