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Simplifying -7(3 + -8b) + -6(-2 + 9b) = b + 7 + 9b (3 * -7 + -8b * -7) + -6(-2 + 9b) = b + 7 + 9b (-21 + 56b) + -6(-2 + 9b) = b + 7 + 9b -21 + 56b + (-2 * -6 + 9b * -6) = b + 7 + 9b -21 + 56b + (12 + -54b) = b + 7 + 9b Reorder the terms: -21 + 12 + 56b + -54b = b + 7 + 9b Combine like terms: -21 + 12 = -9 -9 + 56b + -54b = b + 7 + 9b Combine like terms: 56b + -54b = 2b -9 + 2b = b + 7 + 9b Reorder the terms: -9 + 2b = 7 + b + 9b Combine like terms: b + 9b = 10b -9 + 2b = 7 + 10b Solving -9 + 2b = 7 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -9 + 2b + -10b = 7 + 10b + -10b Combine like terms: 2b + -10b = -8b -9 + -8b = 7 + 10b + -10b Combine like terms: 10b + -10b = 0 -9 + -8b = 7 + 0 -9 + -8b = 7 Add '9' to each side of the equation. -9 + 9 + -8b = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -8b = 7 + 9 -8b = 7 + 9 Combine like terms: 7 + 9 = 16 -8b = 16 Divide each side by '-8'. b = -2 Simplifying b = -2
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