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Simplifying 40a + 80b + 90c + 120d = 900 Solving 40a + 80b + 90c + 120d = 900 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-80b' to each side of the equation. 40a + 80b + 90c + -80b + 120d = 900 + -80b Reorder the terms: 40a + 80b + -80b + 90c + 120d = 900 + -80b Combine like terms: 80b + -80b = 0 40a + 0 + 90c + 120d = 900 + -80b 40a + 90c + 120d = 900 + -80b Add '-90c' to each side of the equation. 40a + 90c + -90c + 120d = 900 + -80b + -90c Combine like terms: 90c + -90c = 0 40a + 0 + 120d = 900 + -80b + -90c 40a + 120d = 900 + -80b + -90c Add '-120d' to each side of the equation. 40a + 120d + -120d = 900 + -80b + -90c + -120d Combine like terms: 120d + -120d = 0 40a + 0 = 900 + -80b + -90c + -120d 40a = 900 + -80b + -90c + -120d Divide each side by '40'. a = 22.5 + -2b + -2.25c + -3d Simplifying a = 22.5 + -2b + -2.25c + -3d
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