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Simplifying 2(3a + b) + -1(a + -2b) = 0 (3a * 2 + b * 2) + -1(a + -2b) = 0 (6a + 2b) + -1(a + -2b) = 0 6a + 2b + (a * -1 + -2b * -1) = 0 6a + 2b + (-1a + 2b) = 0 Reorder the terms: 6a + -1a + 2b + 2b = 0 Combine like terms: 6a + -1a = 5a 5a + 2b + 2b = 0 Combine like terms: 2b + 2b = 4b 5a + 4b = 0 Solving 5a + 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. 5a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 5a + 0 = 0 + -4b 5a = 0 + -4b Remove the zero: 5a = -4b Divide each side by '5'. a = -0.8b Simplifying a = -0.8b
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