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Simplifying 7(a + 2) = 11a + 17 + -7a Reorder the terms: 7(2 + a) = 11a + 17 + -7a (2 * 7 + a * 7) = 11a + 17 + -7a (14 + 7a) = 11a + 17 + -7a Reorder the terms: 14 + 7a = 17 + 11a + -7a Combine like terms: 11a + -7a = 4a 14 + 7a = 17 + 4a Solving 14 + 7a = 17 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 14 + 7a + -4a = 17 + 4a + -4a Combine like terms: 7a + -4a = 3a 14 + 3a = 17 + 4a + -4a Combine like terms: 4a + -4a = 0 14 + 3a = 17 + 0 14 + 3a = 17 Add '-14' to each side of the equation. 14 + -14 + 3a = 17 + -14 Combine like terms: 14 + -14 = 0 0 + 3a = 17 + -14 3a = 17 + -14 Combine like terms: 17 + -14 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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