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Simplifying 2(3a + 1) = 3a + -4 Reorder the terms: 2(1 + 3a) = 3a + -4 (1 * 2 + 3a * 2) = 3a + -4 (2 + 6a) = 3a + -4 Reorder the terms: 2 + 6a = -4 + 3a Solving 2 + 6a = -4 + 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 + 6a + -3a = -4 + 3a + -3a Combine like terms: 6a + -3a = 3a 2 + 3a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 2 + 3a = -4 + 0 2 + 3a = -4 Add '-2' to each side of the equation. 2 + -2 + 3a = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = -4 + -2 3a = -4 + -2 Combine like terms: -4 + -2 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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