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Simplifying 5a + 2(a + 1) = 23 Reorder the terms: 5a + 2(1 + a) = 23 5a + (1 * 2 + a * 2) = 23 5a + (2 + 2a) = 23 Reorder the terms: 2 + 5a + 2a = 23 Combine like terms: 5a + 2a = 7a 2 + 7a = 23 Solving 2 + 7a = 23 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7a = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 7a = 23 + -2 7a = 23 + -2 Combine like terms: 23 + -2 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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