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Simplifying 3(a + 2b) + -1(b + 2a) = 0 (a * 3 + 2b * 3) + -1(b + 2a) = 0 (3a + 6b) + -1(b + 2a) = 0 Reorder the terms: 3a + 6b + -1(2a + b) = 0 3a + 6b + (2a * -1 + b * -1) = 0 3a + 6b + (-2a + -1b) = 0 Reorder the terms: 3a + -2a + 6b + -1b = 0 Combine like terms: 3a + -2a = 1a 1a + 6b + -1b = 0 Combine like terms: 6b + -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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