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Simplifying -8(3a + -1) + -5(a + -1) = 0 Reorder the terms: -8(-1 + 3a) + -5(a + -1) = 0 (-1 * -8 + 3a * -8) + -5(a + -1) = 0 (8 + -24a) + -5(a + -1) = 0 Reorder the terms: 8 + -24a + -5(-1 + a) = 0 8 + -24a + (-1 * -5 + a * -5) = 0 8 + -24a + (5 + -5a) = 0 Reorder the terms: 8 + 5 + -24a + -5a = 0 Combine like terms: 8 + 5 = 13 13 + -24a + -5a = 0 Combine like terms: -24a + -5a = -29a 13 + -29a = 0 Solving 13 + -29a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -29a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -29a = 0 + -13 -29a = 0 + -13 Combine like terms: 0 + -13 = -13 -29a = -13 Divide each side by '-29'. a = 0.4482758621 Simplifying a = 0.4482758621
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