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Simplifying 4(a + -3b) + -2(a + -2b) = 0 (a * 4 + -3b * 4) + -2(a + -2b) = 0 (4a + -12b) + -2(a + -2b) = 0 4a + -12b + (a * -2 + -2b * -2) = 0 4a + -12b + (-2a + 4b) = 0 Reorder the terms: 4a + -2a + -12b + 4b = 0 Combine like terms: 4a + -2a = 2a 2a + -12b + 4b = 0 Combine like terms: -12b + 4b = -8b 2a + -8b = 0 Solving 2a + -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. 2a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 2a + 0 = 0 + 8b 2a = 0 + 8b Remove the zero: 2a = 8b Divide each side by '2'. a = 4b Simplifying a = 4b
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