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Simplifying -1(5a + 6) + -5(a + -8) = 0 Reorder the terms: -1(6 + 5a) + -5(a + -8) = 0 (6 * -1 + 5a * -1) + -5(a + -8) = 0 (-6 + -5a) + -5(a + -8) = 0 Reorder the terms: -6 + -5a + -5(-8 + a) = 0 -6 + -5a + (-8 * -5 + a * -5) = 0 -6 + -5a + (40 + -5a) = 0 Reorder the terms: -6 + 40 + -5a + -5a = 0 Combine like terms: -6 + 40 = 34 34 + -5a + -5a = 0 Combine like terms: -5a + -5a = -10a 34 + -10a = 0 Solving 34 + -10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -10a = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -10a = 0 + -34 -10a = 0 + -34 Combine like terms: 0 + -34 = -34 -10a = -34 Divide each side by '-10'. a = 3.4 Simplifying a = 3.4
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