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Simplifying 3a + 1.50(216 + -1a) = 511.50 3a + (216 * 1.50 + -1a * 1.50) = 511.50 3a + (324 + -1.5a) = 511.50 Reorder the terms: 324 + 3a + -1.5a = 511.50 Combine like terms: 3a + -1.5a = 1.5a 324 + 1.5a = 511.50 Solving 324 + 1.5a = 511.50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-324' to each side of the equation. 324 + -324 + 1.5a = 511.50 + -324 Combine like terms: 324 + -324 = 0 0 + 1.5a = 511.50 + -324 1.5a = 511.50 + -324 Combine like terms: 511.50 + -324 = 187.5 1.5a = 187.5 Divide each side by '1.5'. a = 125 Simplifying a = 125
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