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Simplifying 2(2a + 1) = 3a Reorder the terms: 2(1 + 2a) = 3a (1 * 2 + 2a * 2) = 3a (2 + 4a) = 3a Solving 2 + 4a = 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. 2 + 4a + -3a = 3a + -3a Combine like terms: 4a + -3a = 1a 2 + 1a = 3a + -3a Combine like terms: 3a + -3a = 0 2 + 1a = 0 Add '-2' to each side of the equation. 2 + -2 + 1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1a = 0 + -2 1a = 0 + -2 Combine like terms: 0 + -2 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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