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Simplifying 1099 = (1500 + 15a) + -1(1350 + 8.50a) Remove parenthesis around (1500 + 15a) 1099 = 1500 + 15a + -1(1350 + 8.50a) 1099 = 1500 + 15a + (1350 * -1 + 8.50a * -1) 1099 = 1500 + 15a + (-1350 + -8.5a) Reorder the terms: 1099 = 1500 + -1350 + 15a + -8.5a Combine like terms: 1500 + -1350 = 150 1099 = 150 + 15a + -8.5a Combine like terms: 15a + -8.5a = 6.5a 1099 = 150 + 6.5a Solving 1099 = 150 + 6.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6.5a' to each side of the equation. 1099 + -6.5a = 150 + 6.5a + -6.5a Combine like terms: 6.5a + -6.5a = 0.0 1099 + -6.5a = 150 + 0.0 1099 + -6.5a = 150 Add '-1099' to each side of the equation. 1099 + -1099 + -6.5a = 150 + -1099 Combine like terms: 1099 + -1099 = 0 0 + -6.5a = 150 + -1099 -6.5a = 150 + -1099 Combine like terms: 150 + -1099 = -949 -6.5a = -949 Divide each side by '-6.5'. a = 146 Simplifying a = 146
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