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Simplifying 2(3a + 5) = 5n + -9 Reorder the terms: 2(5 + 3a) = 5n + -9 (5 * 2 + 3a * 2) = 5n + -9 (10 + 6a) = 5n + -9 Reorder the terms: 10 + 6a = -9 + 5n Solving 10 + 6a = -9 + 5n Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6a = -9 + -10 + 5n Combine like terms: 10 + -10 = 0 0 + 6a = -9 + -10 + 5n 6a = -9 + -10 + 5n Combine like terms: -9 + -10 = -19 6a = -19 + 5n Divide each side by '6'. a = -3.166666667 + 0.8333333333n Simplifying a = -3.166666667 + 0.8333333333n
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