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Simplifying 2(a + 5) + 7 = 35 Reorder the terms: 2(5 + a) + 7 = 35 (5 * 2 + a * 2) + 7 = 35 (10 + 2a) + 7 = 35 Reorder the terms: 10 + 7 + 2a = 35 Combine like terms: 10 + 7 = 17 17 + 2a = 35 Solving 17 + 2a = 35 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2a = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 2a = 35 + -17 2a = 35 + -17 Combine like terms: 35 + -17 = 18 2a = 18 Divide each side by '2'. a = 9 Simplifying a = 9
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