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Simplifying 5(a + 3) + 2(2a + -5) = 23 Reorder the terms: 5(3 + a) + 2(2a + -5) = 23 (3 * 5 + a * 5) + 2(2a + -5) = 23 (15 + 5a) + 2(2a + -5) = 23 Reorder the terms: 15 + 5a + 2(-5 + 2a) = 23 15 + 5a + (-5 * 2 + 2a * 2) = 23 15 + 5a + (-10 + 4a) = 23 Reorder the terms: 15 + -10 + 5a + 4a = 23 Combine like terms: 15 + -10 = 5 5 + 5a + 4a = 23 Combine like terms: 5a + 4a = 9a 5 + 9a = 23 Solving 5 + 9a = 23 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 + 9a = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 9a = 23 + -5 9a = 23 + -5 Combine like terms: 23 + -5 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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