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Simplifying 9(3a + 5) + -1(8a + -7) = 0 Reorder the terms: 9(5 + 3a) + -1(8a + -7) = 0 (5 * 9 + 3a * 9) + -1(8a + -7) = 0 (45 + 27a) + -1(8a + -7) = 0 Reorder the terms: 45 + 27a + -1(-7 + 8a) = 0 45 + 27a + (-7 * -1 + 8a * -1) = 0 45 + 27a + (7 + -8a) = 0 Reorder the terms: 45 + 7 + 27a + -8a = 0 Combine like terms: 45 + 7 = 52 52 + 27a + -8a = 0 Combine like terms: 27a + -8a = 19a 52 + 19a = 0 Solving 52 + 19a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 19a = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 19a = 0 + -52 19a = 0 + -52 Combine like terms: 0 + -52 = -52 19a = -52 Divide each side by '19'. a = -2.736842105 Simplifying a = -2.736842105
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