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Simplifying 3(4a + 2b) + -2(a + -1b) = 0 (4a * 3 + 2b * 3) + -2(a + -1b) = 0 (12a + 6b) + -2(a + -1b) = 0 12a + 6b + (a * -2 + -1b * -2) = 0 12a + 6b + (-2a + 2b) = 0 Reorder the terms: 12a + -2a + 6b + 2b = 0 Combine like terms: 12a + -2a = 10a 10a + 6b + 2b = 0 Combine like terms: 6b + 2b = 8b 10a + 8b = 0 Solving 10a + 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. 10a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 10a + 0 = 0 + -8b 10a = 0 + -8b Remove the zero: 10a = -8b Divide each side by '10'. a = -0.8b Simplifying a = -0.8b
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