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Simplifying 3a + 5.50(268 + -1a) = 1089 3a + (268 * 5.50 + -1a * 5.50) = 1089 3a + (1474 + -5.5a) = 1089 Reorder the terms: 1474 + 3a + -5.5a = 1089 Combine like terms: 3a + -5.5a = -2.5a 1474 + -2.5a = 1089 Solving 1474 + -2.5a = 1089 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1474' to each side of the equation. 1474 + -1474 + -2.5a = 1089 + -1474 Combine like terms: 1474 + -1474 = 0 0 + -2.5a = 1089 + -1474 -2.5a = 1089 + -1474 Combine like terms: 1089 + -1474 = -385 -2.5a = -385 Divide each side by '-2.5'. a = 154 Simplifying a = 154
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