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Simplifying 3(9a + 27) = 1a + 9 + 2a Reorder the terms: 3(27 + 9a) = 1a + 9 + 2a (27 * 3 + 9a * 3) = 1a + 9 + 2a (81 + 27a) = 1a + 9 + 2a Reorder the terms: 81 + 27a = 9 + 1a + 2a Combine like terms: 1a + 2a = 3a 81 + 27a = 9 + 3a Solving 81 + 27a = 9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 81 + 27a + -3a = 9 + 3a + -3a Combine like terms: 27a + -3a = 24a 81 + 24a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 81 + 24a = 9 + 0 81 + 24a = 9 Add '-81' to each side of the equation. 81 + -81 + 24a = 9 + -81 Combine like terms: 81 + -81 = 0 0 + 24a = 9 + -81 24a = 9 + -81 Combine like terms: 9 + -81 = -72 24a = -72 Divide each side by '24'. a = -3 Simplifying a = -3
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