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Simplifying 7a + -1(b + a + b) + -1(3a + -1b + 6a) + b = 0 Reorder the terms: 7a + -1(a + b + b) + -1(3a + -1b + 6a) + b = 0 Combine like terms: b + b = 2b 7a + -1(a + 2b) + -1(3a + -1b + 6a) + b = 0 7a + (a * -1 + 2b * -1) + -1(3a + -1b + 6a) + b = 0 7a + (-1a + -2b) + -1(3a + -1b + 6a) + b = 0 Reorder the terms: 7a + -1a + -2b + -1(3a + 6a + -1b) + b = 0 Combine like terms: 3a + 6a = 9a 7a + -1a + -2b + -1(9a + -1b) + b = 0 7a + -1a + -2b + (9a * -1 + -1b * -1) + b = 0 7a + -1a + -2b + (-9a + 1b) + b = 0 Reorder the terms: 7a + -1a + -9a + -2b + 1b + b = 0 Combine like terms: 7a + -1a = 6a 6a + -9a + -2b + 1b + b = 0 Combine like terms: 6a + -9a = -3a -3a + -2b + 1b + b = 0 Combine like terms: -2b + 1b = -1b -3a + -1b + b = 0 Combine like terms: -1b + b = 0 -3a + 0 = 0 -3a = 0 Solving -3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-3'. a = 0 Simplifying a = 0
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