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Simplifying 2(a + 2b) + -1(a + -1b) = 0 (a * 2 + 2b * 2) + -1(a + -1b) = 0 (2a + 4b) + -1(a + -1b) = 0 2a + 4b + (a * -1 + -1b * -1) = 0 2a + 4b + (-1a + 1b) = 0 Reorder the terms: 2a + -1a + 4b + 1b = 0 Combine like terms: 2a + -1a = 1a 1a + 4b + 1b = 0 Combine like terms: 4b + 1b = 5b 1a + 5b = 0 Solving 1a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 1a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 1a + 0 = 0 + -5b 1a = 0 + -5b Remove the zero: 1a = -5b Divide each side by '1'. a = -5b Simplifying a = -5b
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