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Simplifying 2(6a + -1b) + -4(3b + -4a) = 0 (6a * 2 + -1b * 2) + -4(3b + -4a) = 0 (12a + -2b) + -4(3b + -4a) = 0 Reorder the terms: 12a + -2b + -4(-4a + 3b) = 0 12a + -2b + (-4a * -4 + 3b * -4) = 0 12a + -2b + (16a + -12b) = 0 Reorder the terms: 12a + 16a + -2b + -12b = 0 Combine like terms: 12a + 16a = 28a 28a + -2b + -12b = 0 Combine like terms: -2b + -12b = -14b 28a + -14b = 0 Solving 28a + -14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14b' to each side of the equation. 28a + -14b + 14b = 0 + 14b Combine like terms: -14b + 14b = 0 28a + 0 = 0 + 14b 28a = 0 + 14b Remove the zero: 28a = 14b Divide each side by '28'. a = 0.5b Simplifying a = 0.5b
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