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Simplifying 2(10a + 3) + -2 = 10 + -9a Reorder the terms: 2(3 + 10a) + -2 = 10 + -9a (3 * 2 + 10a * 2) + -2 = 10 + -9a (6 + 20a) + -2 = 10 + -9a Reorder the terms: 6 + -2 + 20a = 10 + -9a Combine like terms: 6 + -2 = 4 4 + 20a = 10 + -9a Solving 4 + 20a = 10 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 4 + 20a + 9a = 10 + -9a + 9a Combine like terms: 20a + 9a = 29a 4 + 29a = 10 + -9a + 9a Combine like terms: -9a + 9a = 0 4 + 29a = 10 + 0 4 + 29a = 10 Add '-4' to each side of the equation. 4 + -4 + 29a = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 29a = 10 + -4 29a = 10 + -4 Combine like terms: 10 + -4 = 6 29a = 6 Divide each side by '29'. a = 0.2068965517 Simplifying a = 0.2068965517
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