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Simplifying 1.5a + 9a = 9a + 12 Combine like terms: 1.5a + 9a = 10.5a 10.5a = 9a + 12 Reorder the terms: 10.5a = 12 + 9a Solving 10.5a = 12 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 10.5a + -9a = 12 + 9a + -9a Combine like terms: 10.5a + -9a = 1.5a 1.5a = 12 + 9a + -9a Combine like terms: 9a + -9a = 0 1.5a = 12 + 0 1.5a = 12 Divide each side by '1.5'. a = 8 Simplifying a = 8
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