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Simplifying 23 + 8a = 2(7a + -9) Reorder the terms: 23 + 8a = 2(-9 + 7a) 23 + 8a = (-9 * 2 + 7a * 2) 23 + 8a = (-18 + 14a) Solving 23 + 8a = -18 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 23 + 8a + -14a = -18 + 14a + -14a Combine like terms: 8a + -14a = -6a 23 + -6a = -18 + 14a + -14a Combine like terms: 14a + -14a = 0 23 + -6a = -18 + 0 23 + -6a = -18 Add '-23' to each side of the equation. 23 + -23 + -6a = -18 + -23 Combine like terms: 23 + -23 = 0 0 + -6a = -18 + -23 -6a = -18 + -23 Combine like terms: -18 + -23 = -41 -6a = -41 Divide each side by '-6'. a = 6.833333333 Simplifying a = 6.833333333
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