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Simplifying 5(6a + 5) + -2(3a + 8) = 0 Reorder the terms: 5(5 + 6a) + -2(3a + 8) = 0 (5 * 5 + 6a * 5) + -2(3a + 8) = 0 (25 + 30a) + -2(3a + 8) = 0 Reorder the terms: 25 + 30a + -2(8 + 3a) = 0 25 + 30a + (8 * -2 + 3a * -2) = 0 25 + 30a + (-16 + -6a) = 0 Reorder the terms: 25 + -16 + 30a + -6a = 0 Combine like terms: 25 + -16 = 9 9 + 30a + -6a = 0 Combine like terms: 30a + -6a = 24a 9 + 24a = 0 Solving 9 + 24a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 24a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 24a = 0 + -9 24a = 0 + -9 Combine like terms: 0 + -9 = -9 24a = -9 Divide each side by '24'. a = -0.375 Simplifying a = -0.375
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