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Simplifying -1(6a + 7) + -5(a + -6) = 0 Reorder the terms: -1(7 + 6a) + -5(a + -6) = 0 (7 * -1 + 6a * -1) + -5(a + -6) = 0 (-7 + -6a) + -5(a + -6) = 0 Reorder the terms: -7 + -6a + -5(-6 + a) = 0 -7 + -6a + (-6 * -5 + a * -5) = 0 -7 + -6a + (30 + -5a) = 0 Reorder the terms: -7 + 30 + -6a + -5a = 0 Combine like terms: -7 + 30 = 23 23 + -6a + -5a = 0 Combine like terms: -6a + -5a = -11a 23 + -11a = 0 Solving 23 + -11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -11a = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -11a = 0 + -23 -11a = 0 + -23 Combine like terms: 0 + -23 = -23 -11a = -23 Divide each side by '-11'. a = 2.090909091 Simplifying a = 2.090909091
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