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Simplifying (a + 12) * 2 + a * 2 = 64 Reorder the terms: (12 + a) * 2 + a * 2 = 64 Reorder the terms for easier multiplication: 2(12 + a) + a * 2 = 64 (12 * 2 + a * 2) + a * 2 = 64 (24 + 2a) + a * 2 = 64 Reorder the terms for easier multiplication: 24 + 2a + 2a = 64 Combine like terms: 2a + 2a = 4a 24 + 4a = 64 Solving 24 + 4a = 64 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4a = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 4a = 64 + -24 4a = 64 + -24 Combine like terms: 64 + -24 = 40 4a = 40 Divide each side by '4'. a = 10 Simplifying a = 10
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