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Simplifying 5a + 2(a + 10) = 83 Reorder the terms: 5a + 2(10 + a) = 83 5a + (10 * 2 + a * 2) = 83 5a + (20 + 2a) = 83 Reorder the terms: 20 + 5a + 2a = 83 Combine like terms: 5a + 2a = 7a 20 + 7a = 83 Solving 20 + 7a = 83 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7a = 83 + -20 Combine like terms: 20 + -20 = 0 0 + 7a = 83 + -20 7a = 83 + -20 Combine like terms: 83 + -20 = 63 7a = 63 Divide each side by '7'. a = 9 Simplifying a = 9
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