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