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Simplifying 5(a + 5) + 6(6a + 2) = 0 Reorder the terms: 5(5 + a) + 6(6a + 2) = 0 (5 * 5 + a * 5) + 6(6a + 2) = 0 (25 + 5a) + 6(6a + 2) = 0 Reorder the terms: 25 + 5a + 6(2 + 6a) = 0 25 + 5a + (2 * 6 + 6a * 6) = 0 25 + 5a + (12 + 36a) = 0 Reorder the terms: 25 + 12 + 5a + 36a = 0 Combine like terms: 25 + 12 = 37 37 + 5a + 36a = 0 Combine like terms: 5a + 36a = 41a 37 + 41a = 0 Solving 37 + 41a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 41a = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 41a = 0 + -37 41a = 0 + -37 Combine like terms: 0 + -37 = -37 41a = -37 Divide each side by '41'. a = -0.9024390244 Simplifying a = -0.9024390244
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