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Simplifying 5 + 4a + 6(5a + 2) = 0 Reorder the terms: 5 + 4a + 6(2 + 5a) = 0 5 + 4a + (2 * 6 + 5a * 6) = 0 5 + 4a + (12 + 30a) = 0 Reorder the terms: 5 + 12 + 4a + 30a = 0 Combine like terms: 5 + 12 = 17 17 + 4a + 30a = 0 Combine like terms: 4a + 30a = 34a 17 + 34a = 0 Solving 17 + 34a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 34a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 34a = 0 + -17 34a = 0 + -17 Combine like terms: 0 + -17 = -17 34a = -17 Divide each side by '34'. a = -0.5 Simplifying a = -0.5
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