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Simplifying 32(2a + 17) = 8(5 + a) Reorder the terms: 32(17 + 2a) = 8(5 + a) (17 * 32 + 2a * 32) = 8(5 + a) (544 + 64a) = 8(5 + a) 544 + 64a = (5 * 8 + a * 8) 544 + 64a = (40 + 8a) Solving 544 + 64a = 40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 544 + 64a + -8a = 40 + 8a + -8a Combine like terms: 64a + -8a = 56a 544 + 56a = 40 + 8a + -8a Combine like terms: 8a + -8a = 0 544 + 56a = 40 + 0 544 + 56a = 40 Add '-544' to each side of the equation. 544 + -544 + 56a = 40 + -544 Combine like terms: 544 + -544 = 0 0 + 56a = 40 + -544 56a = 40 + -544 Combine like terms: 40 + -544 = -504 56a = -504 Divide each side by '56'. a = -9 Simplifying a = -9
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