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Simplifying 2a + 3(a + -1(b + -1a)) + 7(2b + -1a) = 0 Reorder the terms: 2a + 3(a + -1(-1a + b)) + 7(2b + -1a) = 0 2a + 3(a + (-1a * -1 + b * -1)) + 7(2b + -1a) = 0 2a + 3(a + (1a + -1b)) + 7(2b + -1a) = 0 Combine like terms: a + 1a = 2a 2a + 3(2a + -1b) + 7(2b + -1a) = 0 2a + (2a * 3 + -1b * 3) + 7(2b + -1a) = 0 2a + (6a + -3b) + 7(2b + -1a) = 0 Reorder the terms: 2a + 6a + -3b + 7(-1a + 2b) = 0 2a + 6a + -3b + (-1a * 7 + 2b * 7) = 0 2a + 6a + -3b + (-7a + 14b) = 0 Reorder the terms: 2a + 6a + -7a + -3b + 14b = 0 Combine like terms: 2a + 6a = 8a 8a + -7a + -3b + 14b = 0 Combine like terms: 8a + -7a = 1a 1a + -3b + 14b = 0 Combine like terms: -3b + 14b = 11b 1a + 11b = 0 Solving 1a + 11b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11b' to each side of the equation. 1a + 11b + -11b = 0 + -11b Combine like terms: 11b + -11b = 0 1a + 0 = 0 + -11b 1a = 0 + -11b Remove the zero: 1a = -11b Divide each side by '1'. a = -11b Simplifying a = -11b
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