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