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Simplifying 7b + 12b = -1(7 + 9b) + 7(1 + 12b) Combine like terms: 7b + 12b = 19b 19b = -1(7 + 9b) + 7(1 + 12b) 19b = (7 * -1 + 9b * -1) + 7(1 + 12b) 19b = (-7 + -9b) + 7(1 + 12b) 19b = -7 + -9b + (1 * 7 + 12b * 7) 19b = -7 + -9b + (7 + 84b) Reorder the terms: 19b = -7 + 7 + -9b + 84b Combine like terms: -7 + 7 = 0 19b = 0 + -9b + 84b 19b = -9b + 84b Combine like terms: -9b + 84b = 75b 19b = 75b Solving 19b = 75b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-75b' to each side of the equation. 19b + -75b = 75b + -75b Combine like terms: 19b + -75b = -56b -56b = 75b + -75b Combine like terms: 75b + -75b = 0 -56b = 0 Divide each side by '-56'. b = 0 Simplifying b = 0
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