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Simplifying 2(8a + 9) = 33 + 7a Reorder the terms: 2(9 + 8a) = 33 + 7a (9 * 2 + 8a * 2) = 33 + 7a (18 + 16a) = 33 + 7a Solving 18 + 16a = 33 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 18 + 16a + -7a = 33 + 7a + -7a Combine like terms: 16a + -7a = 9a 18 + 9a = 33 + 7a + -7a Combine like terms: 7a + -7a = 0 18 + 9a = 33 + 0 18 + 9a = 33 Add '-18' to each side of the equation. 18 + -18 + 9a = 33 + -18 Combine like terms: 18 + -18 = 0 0 + 9a = 33 + -18 9a = 33 + -18 Combine like terms: 33 + -18 = 15 9a = 15 Divide each side by '9'. a = 1.666666667 Simplifying a = 1.666666667
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