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Simplifying 12a + 9(55 + -1s) = 585 12a + (55 * 9 + -1s * 9) = 585 12a + (495 + -9s) = 585 Reorder the terms: 495 + 12a + -9s = 585 Solving 495 + 12a + -9s = 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 + 12a + -495 + -9s = 585 + -495 Reorder the terms: 495 + -495 + 12a + -9s = 585 + -495 Combine like terms: 495 + -495 = 0 0 + 12a + -9s = 585 + -495 12a + -9s = 585 + -495 Combine like terms: 585 + -495 = 90 12a + -9s = 90 Add '9s' to each side of the equation. 12a + -9s + 9s = 90 + 9s Combine like terms: -9s + 9s = 0 12a + 0 = 90 + 9s 12a = 90 + 9s Divide each side by '12'. a = 7.5 + 0.75s Simplifying a = 7.5 + 0.75s
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