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Simplifying -1(6a + 8) + -5(a + -7) = 0 Reorder the terms: -1(8 + 6a) + -5(a + -7) = 0 (8 * -1 + 6a * -1) + -5(a + -7) = 0 (-8 + -6a) + -5(a + -7) = 0 Reorder the terms: -8 + -6a + -5(-7 + a) = 0 -8 + -6a + (-7 * -5 + a * -5) = 0 -8 + -6a + (35 + -5a) = 0 Reorder the terms: -8 + 35 + -6a + -5a = 0 Combine like terms: -8 + 35 = 27 27 + -6a + -5a = 0 Combine like terms: -6a + -5a = -11a 27 + -11a = 0 Solving 27 + -11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -11a = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -11a = 0 + -27 -11a = 0 + -27 Combine like terms: 0 + -27 = -27 -11a = -27 Divide each side by '-11'. a = 2.454545455 Simplifying a = 2.454545455
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