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Simplifying 2(3a + 4) = 3a + 2 Reorder the terms: 2(4 + 3a) = 3a + 2 (4 * 2 + 3a * 2) = 3a + 2 (8 + 6a) = 3a + 2 Reorder the terms: 8 + 6a = 2 + 3a Solving 8 + 6a = 2 + 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. 8 + 6a + -3a = 2 + 3a + -3a Combine like terms: 6a + -3a = 3a 8 + 3a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + 3a = 2 + 0 8 + 3a = 2 Add '-8' to each side of the equation. 8 + -8 + 3a = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 2 + -8 3a = 2 + -8 Combine like terms: 2 + -8 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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