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Simplifying 5(a + 2) + 3(2a + -1) = 0 Reorder the terms: 5(2 + a) + 3(2a + -1) = 0 (2 * 5 + a * 5) + 3(2a + -1) = 0 (10 + 5a) + 3(2a + -1) = 0 Reorder the terms: 10 + 5a + 3(-1 + 2a) = 0 10 + 5a + (-1 * 3 + 2a * 3) = 0 10 + 5a + (-3 + 6a) = 0 Reorder the terms: 10 + -3 + 5a + 6a = 0 Combine like terms: 10 + -3 = 7 7 + 5a + 6a = 0 Combine like terms: 5a + 6a = 11a 7 + 11a = 0 Solving 7 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11a = 0 + -7 11a = 0 + -7 Combine like terms: 0 + -7 = -7 11a = -7 Divide each side by '11'. a = -0.6363636364 Simplifying a = -0.6363636364
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