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Simplifying 2(5a + 1) + 2(a + 1) = 0 Reorder the terms: 2(1 + 5a) + 2(a + 1) = 0 (1 * 2 + 5a * 2) + 2(a + 1) = 0 (2 + 10a) + 2(a + 1) = 0 Reorder the terms: 2 + 10a + 2(1 + a) = 0 2 + 10a + (1 * 2 + a * 2) = 0 2 + 10a + (2 + 2a) = 0 Reorder the terms: 2 + 2 + 10a + 2a = 0 Combine like terms: 2 + 2 = 4 4 + 10a + 2a = 0 Combine like terms: 10a + 2a = 12a 4 + 12a = 0 Solving 4 + 12a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12a = 0 + -4 12a = 0 + -4 Combine like terms: 0 + -4 = -4 12a = -4 Divide each side by '12'. a = -0.3333333333 Simplifying a = -0.3333333333
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