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Simplifying 9b + -9b = 11(b + -7) + 8(b + 12) Combine like terms: 9b + -9b = 0 0 = 11(b + -7) + 8(b + 12) Reorder the terms: 0 = 11(-7 + b) + 8(b + 12) 0 = (-7 * 11 + b * 11) + 8(b + 12) 0 = (-77 + 11b) + 8(b + 12) Reorder the terms: 0 = -77 + 11b + 8(12 + b) 0 = -77 + 11b + (12 * 8 + b * 8) 0 = -77 + 11b + (96 + 8b) Reorder the terms: 0 = -77 + 96 + 11b + 8b Combine like terms: -77 + 96 = 19 0 = 19 + 11b + 8b Combine like terms: 11b + 8b = 19b 0 = 19 + 19b Solving 0 = 19 + 19b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-19b' to each side of the equation. 0 + -19b = 19 + 19b + -19b Remove the zero: -19b = 19 + 19b + -19b Combine like terms: 19b + -19b = 0 -19b = 19 + 0 -19b = 19 Divide each side by '-19'. b = -1 Simplifying b = -1
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