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Simplifying 4(6a + -5) + -1(8a + -5) = 0 Reorder the terms: 4(-5 + 6a) + -1(8a + -5) = 0 (-5 * 4 + 6a * 4) + -1(8a + -5) = 0 (-20 + 24a) + -1(8a + -5) = 0 Reorder the terms: -20 + 24a + -1(-5 + 8a) = 0 -20 + 24a + (-5 * -1 + 8a * -1) = 0 -20 + 24a + (5 + -8a) = 0 Reorder the terms: -20 + 5 + 24a + -8a = 0 Combine like terms: -20 + 5 = -15 -15 + 24a + -8a = 0 Combine like terms: 24a + -8a = 16a -15 + 16a = 0 Solving -15 + 16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 16a = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 16a = 0 + 15 16a = 0 + 15 Combine like terms: 0 + 15 = 15 16a = 15 Divide each side by '16'. a = 0.9375 Simplifying a = 0.9375
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