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Simplifying (5a + 1)(9 + -5) + 7 = 31 Reorder the terms: (1 + 5a)(9 + -5) + 7 = 31 Combine like terms: 9 + -5 = 4 (1 + 5a)(4) + 7 = 31 Reorder the terms for easier multiplication: 4(1 + 5a) + 7 = 31 (1 * 4 + 5a * 4) + 7 = 31 (4 + 20a) + 7 = 31 Reorder the terms: 4 + 7 + 20a = 31 Combine like terms: 4 + 7 = 11 11 + 20a = 31 Solving 11 + 20a = 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 + 20a = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 20a = 31 + -11 20a = 31 + -11 Combine like terms: 31 + -11 = 20 20a = 20 Divide each side by '20'. a = 1 Simplifying a = 1
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