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Simplifying 2(a + 7) = 38 + -2a Reorder the terms: 2(7 + a) = 38 + -2a (7 * 2 + a * 2) = 38 + -2a (14 + 2a) = 38 + -2a Solving 14 + 2a = 38 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 14 + 2a + 2a = 38 + -2a + 2a Combine like terms: 2a + 2a = 4a 14 + 4a = 38 + -2a + 2a Combine like terms: -2a + 2a = 0 14 + 4a = 38 + 0 14 + 4a = 38 Add '-14' to each side of the equation. 14 + -14 + 4a = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 4a = 38 + -14 4a = 38 + -14 Combine like terms: 38 + -14 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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