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Simplifying 9 + 3a + -1(4a + -9) + -1(5a + 5) = 0 Reorder the terms: 9 + 3a + -1(-9 + 4a) + -1(5a + 5) = 0 9 + 3a + (-9 * -1 + 4a * -1) + -1(5a + 5) = 0 9 + 3a + (9 + -4a) + -1(5a + 5) = 0 Reorder the terms: 9 + 3a + 9 + -4a + -1(5 + 5a) = 0 9 + 3a + 9 + -4a + (5 * -1 + 5a * -1) = 0 9 + 3a + 9 + -4a + (-5 + -5a) = 0 Reorder the terms: 9 + 9 + -5 + 3a + -4a + -5a = 0 Combine like terms: 9 + 9 = 18 18 + -5 + 3a + -4a + -5a = 0 Combine like terms: 18 + -5 = 13 13 + 3a + -4a + -5a = 0 Combine like terms: 3a + -4a = -1a 13 + -1a + -5a = 0 Combine like terms: -1a + -5a = -6a 13 + -6a = 0 Solving 13 + -6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -6a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6a = 0 + -13 -6a = 0 + -13 Combine like terms: 0 + -13 = -13 -6a = -13 Divide each side by '-6'. a = 2.166666667 Simplifying a = 2.166666667
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