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Simplifying 3(8a + 4) = (4a + 2) Reorder the terms: 3(4 + 8a) = (4a + 2) (4 * 3 + 8a * 3) = (4a + 2) (12 + 24a) = (4a + 2) Reorder the terms: 12 + 24a = (2 + 4a) Remove parenthesis around (2 + 4a) 12 + 24a = 2 + 4a Solving 12 + 24a = 2 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 12 + 24a + -4a = 2 + 4a + -4a Combine like terms: 24a + -4a = 20a 12 + 20a = 2 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + 20a = 2 + 0 12 + 20a = 2 Add '-12' to each side of the equation. 12 + -12 + 20a = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 20a = 2 + -12 20a = 2 + -12 Combine like terms: 2 + -12 = -10 20a = -10 Divide each side by '20'. a = -0.5 Simplifying a = -0.5
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