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Simplifying 2(a + 3) = 116 Reorder the terms: 2(3 + a) = 116 (3 * 2 + a * 2) = 116 (6 + 2a) = 116 Solving 6 + 2a = 116 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 2a = 116 + -6 Combine like terms: 6 + -6 = 0 0 + 2a = 116 + -6 2a = 116 + -6 Combine like terms: 116 + -6 = 110 2a = 110 Divide each side by '2'. a = 55 Simplifying a = 55
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