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Simplifying 3a + 2(1a + 4) = 6 + -2a Reorder the terms: 3a + 2(4 + 1a) = 6 + -2a 3a + (4 * 2 + 1a * 2) = 6 + -2a 3a + (8 + 2a) = 6 + -2a Reorder the terms: 8 + 3a + 2a = 6 + -2a Combine like terms: 3a + 2a = 5a 8 + 5a = 6 + -2a Solving 8 + 5a = 6 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 8 + 5a + 2a = 6 + -2a + 2a Combine like terms: 5a + 2a = 7a 8 + 7a = 6 + -2a + 2a Combine like terms: -2a + 2a = 0 8 + 7a = 6 + 0 8 + 7a = 6 Add '-8' to each side of the equation. 8 + -8 + 7a = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 7a = 6 + -8 7a = 6 + -8 Combine like terms: 6 + -8 = -2 7a = -2 Divide each side by '7'. a = -0.2857142857 Simplifying a = -0.2857142857
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