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