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Simplifying -1(6a + 9) + -5(a + -7) = 0 Reorder the terms: -1(9 + 6a) + -5(a + -7) = 0 (9 * -1 + 6a * -1) + -5(a + -7) = 0 (-9 + -6a) + -5(a + -7) = 0 Reorder the terms: -9 + -6a + -5(-7 + a) = 0 -9 + -6a + (-7 * -5 + a * -5) = 0 -9 + -6a + (35 + -5a) = 0 Reorder the terms: -9 + 35 + -6a + -5a = 0 Combine like terms: -9 + 35 = 26 26 + -6a + -5a = 0 Combine like terms: -6a + -5a = -11a 26 + -11a = 0 Solving 26 + -11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -11a = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -11a = 0 + -26 -11a = 0 + -26 Combine like terms: 0 + -26 = -26 -11a = -26 Divide each side by '-11'. a = 2.363636364 Simplifying a = 2.363636364
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