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Simplifying 7 + 2(1 + 8a) = 17 + 8a 7 + (1 * 2 + 8a * 2) = 17 + 8a 7 + (2 + 16a) = 17 + 8a Combine like terms: 7 + 2 = 9 9 + 16a = 17 + 8a Solving 9 + 16a = 17 + 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. 9 + 16a + -8a = 17 + 8a + -8a Combine like terms: 16a + -8a = 8a 9 + 8a = 17 + 8a + -8a Combine like terms: 8a + -8a = 0 9 + 8a = 17 + 0 9 + 8a = 17 Add '-9' to each side of the equation. 9 + -9 + 8a = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 8a = 17 + -9 8a = 17 + -9 Combine like terms: 17 + -9 = 8 8a = 8 Divide each side by '8'. a = 1 Simplifying a = 1
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