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Simplifying 82 = 5a + 9a Combine like terms: 5a + 9a = 14a 82 = 14a Solving 82 = 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. 82 + -14a = 14a + -14a Combine like terms: 14a + -14a = 0 82 + -14a = 0 Add '-82' to each side of the equation. 82 + -82 + -14a = 0 + -82 Combine like terms: 82 + -82 = 0 0 + -14a = 0 + -82 -14a = 0 + -82 Combine like terms: 0 + -82 = -82 -14a = -82 Divide each side by '-14'. a = 5.857142857 Simplifying a = 5.857142857
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