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Simplifying -11b + 7b = 9(4b + -9) + -11(4b + 1) Combine like terms: -11b + 7b = -4b -4b = 9(4b + -9) + -11(4b + 1) Reorder the terms: -4b = 9(-9 + 4b) + -11(4b + 1) -4b = (-9 * 9 + 4b * 9) + -11(4b + 1) -4b = (-81 + 36b) + -11(4b + 1) Reorder the terms: -4b = -81 + 36b + -11(1 + 4b) -4b = -81 + 36b + (1 * -11 + 4b * -11) -4b = -81 + 36b + (-11 + -44b) Reorder the terms: -4b = -81 + -11 + 36b + -44b Combine like terms: -81 + -11 = -92 -4b = -92 + 36b + -44b Combine like terms: 36b + -44b = -8b -4b = -92 + -8b Solving -4b = -92 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. -4b + 8b = -92 + -8b + 8b Combine like terms: -4b + 8b = 4b 4b = -92 + -8b + 8b Combine like terms: -8b + 8b = 0 4b = -92 + 0 4b = -92 Divide each side by '4'. b = -23 Simplifying b = -23
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