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Simplifying 12a + 9(55 + -1a) = 585 12a + (55 * 9 + -1a * 9) = 585 12a + (495 + -9a) = 585 Reorder the terms: 495 + 12a + -9a = 585 Combine like terms: 12a + -9a = 3a 495 + 3a = 585 Solving 495 + 3a = 585 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-495' to each side of the equation. 495 + -495 + 3a = 585 + -495 Combine like terms: 495 + -495 = 0 0 + 3a = 585 + -495 3a = 585 + -495 Combine like terms: 585 + -495 = 90 3a = 90 Divide each side by '3'. a = 30 Simplifying a = 30
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