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Simplifying 9a + -1(15a + -1(3b + 7a) + (-8b + a) + 12b) = 0 Reorder the terms: 9a + -1(15a + -1(7a + 3b) + (-8b + a) + 12b) = 0 9a + -1(15a + (7a * -1 + 3b * -1) + (-8b + a) + 12b) = 0 9a + -1(15a + (-7a + -3b) + (-8b + a) + 12b) = 0 Reorder the terms: 9a + -1(15a + -7a + -3b + (a + -8b) + 12b) = 0 Remove parenthesis around (a + -8b) 9a + -1(15a + -7a + -3b + a + -8b + 12b) = 0 Reorder the terms: 9a + -1(15a + -7a + a + -3b + -8b + 12b) = 0 Combine like terms: 15a + -7a = 8a 9a + -1(8a + a + -3b + -8b + 12b) = 0 Combine like terms: 8a + a = 9a 9a + -1(9a + -3b + -8b + 12b) = 0 Combine like terms: -3b + -8b = -11b 9a + -1(9a + -11b + 12b) = 0 Combine like terms: -11b + 12b = 1b 9a + -1(9a + 1b) = 0 9a + (9a * -1 + 1b * -1) = 0 9a + (-9a + -1b) = 0 Combine like terms: 9a + -9a = 0 0 + -1b = 0 -1b = 0 Solving -1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-1'. b = 0 Simplifying b = 0
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