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Simplifying 90a + -8000 + 90a = 1000 + -90a Reorder the terms: -8000 + 90a + 90a = 1000 + -90a Combine like terms: 90a + 90a = 180a -8000 + 180a = 1000 + -90a Solving -8000 + 180a = 1000 + -90a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '90a' to each side of the equation. -8000 + 180a + 90a = 1000 + -90a + 90a Combine like terms: 180a + 90a = 270a -8000 + 270a = 1000 + -90a + 90a Combine like terms: -90a + 90a = 0 -8000 + 270a = 1000 + 0 -8000 + 270a = 1000 Add '8000' to each side of the equation. -8000 + 8000 + 270a = 1000 + 8000 Combine like terms: -8000 + 8000 = 0 0 + 270a = 1000 + 8000 270a = 1000 + 8000 Combine like terms: 1000 + 8000 = 9000 270a = 9000 Divide each side by '270'. a = 33.33333333 Simplifying a = 33.33333333
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