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Simplifying 3a + 1.50(268 + -1a) = 2084 3a + (268 * 1.50 + -1a * 1.50) = 2084 3a + (402 + -1.5a) = 2084 Reorder the terms: 402 + 3a + -1.5a = 2084 Combine like terms: 3a + -1.5a = 1.5a 402 + 1.5a = 2084 Solving 402 + 1.5a = 2084 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-402' to each side of the equation. 402 + -402 + 1.5a = 2084 + -402 Combine like terms: 402 + -402 = 0 0 + 1.5a = 2084 + -402 1.5a = 2084 + -402 Combine like terms: 2084 + -402 = 1682 1.5a = 1682 Divide each side by '1.5'. a = 1121.333333 Simplifying a = 1121.333333
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