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Simplifying -1(5a + 7) + -4(a + -8) = 0 Reorder the terms: -1(7 + 5a) + -4(a + -8) = 0 (7 * -1 + 5a * -1) + -4(a + -8) = 0 (-7 + -5a) + -4(a + -8) = 0 Reorder the terms: -7 + -5a + -4(-8 + a) = 0 -7 + -5a + (-8 * -4 + a * -4) = 0 -7 + -5a + (32 + -4a) = 0 Reorder the terms: -7 + 32 + -5a + -4a = 0 Combine like terms: -7 + 32 = 25 25 + -5a + -4a = 0 Combine like terms: -5a + -4a = -9a 25 + -9a = 0 Solving 25 + -9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -9a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -9a = 0 + -25 -9a = 0 + -25 Combine like terms: 0 + -25 = -25 -9a = -25 Divide each side by '-9'. a = 2.777777778 Simplifying a = 2.777777778
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