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Simplifying 3a + 2(a + 5) = 45 Reorder the terms: 3a + 2(5 + a) = 45 3a + (5 * 2 + a * 2) = 45 3a + (10 + 2a) = 45 Reorder the terms: 10 + 3a + 2a = 45 Combine like terms: 3a + 2a = 5a 10 + 5a = 45 Solving 10 + 5a = 45 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 5a = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 5a = 45 + -10 5a = 45 + -10 Combine like terms: 45 + -10 = 35 5a = 35 Divide each side by '5'. a = 7 Simplifying a = 7
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