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Simplifying 6(4a + 5) = -5(a + -5) + (4(3 + 5)) Reorder the terms: 6(5 + 4a) = -5(a + -5) + (4(3 + 5)) (5 * 6 + 4a * 6) = -5(a + -5) + (4(3 + 5)) (30 + 24a) = -5(a + -5) + (4(3 + 5)) Reorder the terms: 30 + 24a = -5(-5 + a) + (4(3 + 5)) 30 + 24a = (-5 * -5 + a * -5) + (4(3 + 5)) 30 + 24a = (25 + -5a) + (4(3 + 5)) Combine like terms: 3 + 5 = 8 30 + 24a = 25 + -5a + (4(8)) Multiply 4 * 8 30 + 24a = 25 + -5a + (32) 30 + 24a = 25 + -5a + 32 Reorder the terms: 30 + 24a = 25 + 32 + -5a Combine like terms: 25 + 32 = 57 30 + 24a = 57 + -5a Solving 30 + 24a = 57 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 30 + 24a + 5a = 57 + -5a + 5a Combine like terms: 24a + 5a = 29a 30 + 29a = 57 + -5a + 5a Combine like terms: -5a + 5a = 0 30 + 29a = 57 + 0 30 + 29a = 57 Add '-30' to each side of the equation. 30 + -30 + 29a = 57 + -30 Combine like terms: 30 + -30 = 0 0 + 29a = 57 + -30 29a = 57 + -30 Combine like terms: 57 + -30 = 27 29a = 27 Divide each side by '29'. a = 0.9310344828 Simplifying a = 0.9310344828
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