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Simplifying 3(2a + 5) + 5(a + -2) = 0 Reorder the terms: 3(5 + 2a) + 5(a + -2) = 0 (5 * 3 + 2a * 3) + 5(a + -2) = 0 (15 + 6a) + 5(a + -2) = 0 Reorder the terms: 15 + 6a + 5(-2 + a) = 0 15 + 6a + (-2 * 5 + a * 5) = 0 15 + 6a + (-10 + 5a) = 0 Reorder the terms: 15 + -10 + 6a + 5a = 0 Combine like terms: 15 + -10 = 5 5 + 6a + 5a = 0 Combine like terms: 6a + 5a = 11a 5 + 11a = 0 Solving 5 + 11a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11a = 0 + -5 11a = 0 + -5 Combine like terms: 0 + -5 = -5 11a = -5 Divide each side by '11'. a = -0.4545454545 Simplifying a = -0.4545454545
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