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Simplifying 3(2a + -4b) + 4(2b + -1a) = 0 (2a * 3 + -4b * 3) + 4(2b + -1a) = 0 (6a + -12b) + 4(2b + -1a) = 0 Reorder the terms: 6a + -12b + 4(-1a + 2b) = 0 6a + -12b + (-1a * 4 + 2b * 4) = 0 6a + -12b + (-4a + 8b) = 0 Reorder the terms: 6a + -4a + -12b + 8b = 0 Combine like terms: 6a + -4a = 2a 2a + -12b + 8b = 0 Combine like terms: -12b + 8b = -4b 2a + -4b = 0 Solving 2a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 2a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 2a + 0 = 0 + 4b 2a = 0 + 4b Remove the zero: 2a = 4b Divide each side by '2'. a = 2b Simplifying a = 2b
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