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Simplifying -1(5a + 8) + -4(a + -6) = 0 Reorder the terms: -1(8 + 5a) + -4(a + -6) = 0 (8 * -1 + 5a * -1) + -4(a + -6) = 0 (-8 + -5a) + -4(a + -6) = 0 Reorder the terms: -8 + -5a + -4(-6 + a) = 0 -8 + -5a + (-6 * -4 + a * -4) = 0 -8 + -5a + (24 + -4a) = 0 Reorder the terms: -8 + 24 + -5a + -4a = 0 Combine like terms: -8 + 24 = 16 16 + -5a + -4a = 0 Combine like terms: -5a + -4a = -9a 16 + -9a = 0 Solving 16 + -9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -9a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -9a = 0 + -16 -9a = 0 + -16 Combine like terms: 0 + -16 = -16 -9a = -16 Divide each side by '-9'. a = 1.777777778 Simplifying a = 1.777777778
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