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Simplifying 9(a + 9) + -6(a + -6) = 105 Reorder the terms: 9(9 + a) + -6(a + -6) = 105 (9 * 9 + a * 9) + -6(a + -6) = 105 (81 + 9a) + -6(a + -6) = 105 Reorder the terms: 81 + 9a + -6(-6 + a) = 105 81 + 9a + (-6 * -6 + a * -6) = 105 81 + 9a + (36 + -6a) = 105 Reorder the terms: 81 + 36 + 9a + -6a = 105 Combine like terms: 81 + 36 = 117 117 + 9a + -6a = 105 Combine like terms: 9a + -6a = 3a 117 + 3a = 105 Solving 117 + 3a = 105 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-117' to each side of the equation. 117 + -117 + 3a = 105 + -117 Combine like terms: 117 + -117 = 0 0 + 3a = 105 + -117 3a = 105 + -117 Combine like terms: 105 + -117 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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