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Simplifying (2a + 2)(3 + -1) + 7 = 31 Reorder the terms: (2 + 2a)(3 + -1) + 7 = 31 Combine like terms: 3 + -1 = 2 (2 + 2a)(2) + 7 = 31 Reorder the terms for easier multiplication: 2(2 + 2a) + 7 = 31 (2 * 2 + 2a * 2) + 7 = 31 (4 + 4a) + 7 = 31 Reorder the terms: 4 + 7 + 4a = 31 Combine like terms: 4 + 7 = 11 11 + 4a = 31 Solving 11 + 4a = 31 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4a = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 4a = 31 + -11 4a = 31 + -11 Combine like terms: 31 + -11 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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