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Simplifying 3a + 1.50(300 + -1a) = 694.50 3a + (300 * 1.50 + -1a * 1.50) = 694.50 3a + (450 + -1.5a) = 694.50 Reorder the terms: 450 + 3a + -1.5a = 694.50 Combine like terms: 3a + -1.5a = 1.5a 450 + 1.5a = 694.50 Solving 450 + 1.5a = 694.50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-450' to each side of the equation. 450 + -450 + 1.5a = 694.50 + -450 Combine like terms: 450 + -450 = 0 0 + 1.5a = 694.50 + -450 1.5a = 694.50 + -450 Combine like terms: 694.50 + -450 = 244.5 1.5a = 244.5 Divide each side by '1.5'. a = 163 Simplifying a = 163
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