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Simplifying -1(6a + 8) + -5(a + -6) = 0 Reorder the terms: -1(8 + 6a) + -5(a + -6) = 0 (8 * -1 + 6a * -1) + -5(a + -6) = 0 (-8 + -6a) + -5(a + -6) = 0 Reorder the terms: -8 + -6a + -5(-6 + a) = 0 -8 + -6a + (-6 * -5 + a * -5) = 0 -8 + -6a + (30 + -5a) = 0 Reorder the terms: -8 + 30 + -6a + -5a = 0 Combine like terms: -8 + 30 = 22 22 + -6a + -5a = 0 Combine like terms: -6a + -5a = -11a 22 + -11a = 0 Solving 22 + -11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -11a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -11a = 0 + -22 -11a = 0 + -22 Combine like terms: 0 + -22 = -22 -11a = -22 Divide each side by '-11'. a = 2 Simplifying a = 2
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