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Simplifying 2(5a + 10) + -3(2a + 1) = 0 Reorder the terms: 2(10 + 5a) + -3(2a + 1) = 0 (10 * 2 + 5a * 2) + -3(2a + 1) = 0 (20 + 10a) + -3(2a + 1) = 0 Reorder the terms: 20 + 10a + -3(1 + 2a) = 0 20 + 10a + (1 * -3 + 2a * -3) = 0 20 + 10a + (-3 + -6a) = 0 Reorder the terms: 20 + -3 + 10a + -6a = 0 Combine like terms: 20 + -3 = 17 17 + 10a + -6a = 0 Combine like terms: 10a + -6a = 4a 17 + 4a = 0 Solving 17 + 4a = 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 + 4a = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4a = 0 + -17 4a = 0 + -17 Combine like terms: 0 + -17 = -17 4a = -17 Divide each side by '4'. a = -4.25 Simplifying a = -4.25
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