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Simplifying 2(4a + 2b) = 3(2a + 4b) (4a * 2 + 2b * 2) = 3(2a + 4b) (8a + 4b) = 3(2a + 4b) 8a + 4b = (2a * 3 + 4b * 3) 8a + 4b = (6a + 12b) Solving 8a + 4b = 6a + 12b 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. 8a + -6a + 4b = 6a + -6a + 12b Combine like terms: 8a + -6a = 2a 2a + 4b = 6a + -6a + 12b Combine like terms: 6a + -6a = 0 2a + 4b = 0 + 12b 2a + 4b = 12b Add '-4b' to each side of the equation. 2a + 4b + -4b = 12b + -4b Combine like terms: 4b + -4b = 0 2a + 0 = 12b + -4b 2a = 12b + -4b Combine like terms: 12b + -4b = 8b 2a = 8b Divide each side by '2'. a = 4b Simplifying a = 4b
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