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Simplifying 3a + 5.50(300 + -1a) = 1175 3a + (300 * 5.50 + -1a * 5.50) = 1175 3a + (1650 + -5.5a) = 1175 Reorder the terms: 1650 + 3a + -5.5a = 1175 Combine like terms: 3a + -5.5a = -2.5a 1650 + -2.5a = 1175 Solving 1650 + -2.5a = 1175 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1650' to each side of the equation. 1650 + -1650 + -2.5a = 1175 + -1650 Combine like terms: 1650 + -1650 = 0 0 + -2.5a = 1175 + -1650 -2.5a = 1175 + -1650 Combine like terms: 1175 + -1650 = -475 -2.5a = -475 Divide each side by '-2.5'. a = 190 Simplifying a = 190
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