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Simplifying 81(a + 2) = 3(3a + 1) Reorder the terms: 81(2 + a) = 3(3a + 1) (2 * 81 + a * 81) = 3(3a + 1) (162 + 81a) = 3(3a + 1) Reorder the terms: 162 + 81a = 3(1 + 3a) 162 + 81a = (1 * 3 + 3a * 3) 162 + 81a = (3 + 9a) Solving 162 + 81a = 3 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 162 + 81a + -9a = 3 + 9a + -9a Combine like terms: 81a + -9a = 72a 162 + 72a = 3 + 9a + -9a Combine like terms: 9a + -9a = 0 162 + 72a = 3 + 0 162 + 72a = 3 Add '-162' to each side of the equation. 162 + -162 + 72a = 3 + -162 Combine like terms: 162 + -162 = 0 0 + 72a = 3 + -162 72a = 3 + -162 Combine like terms: 3 + -162 = -159 72a = -159 Divide each side by '72'. a = -2.208333333 Simplifying a = -2.208333333
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