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Simplifying -5 + -11(12b + -7) = -56 + -4b Reorder the terms: -5 + -11(-7 + 12b) = -56 + -4b -5 + (-7 * -11 + 12b * -11) = -56 + -4b -5 + (77 + -132b) = -56 + -4b Combine like terms: -5 + 77 = 72 72 + -132b = -56 + -4b Solving 72 + -132b = -56 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 72 + -132b + 4b = -56 + -4b + 4b Combine like terms: -132b + 4b = -128b 72 + -128b = -56 + -4b + 4b Combine like terms: -4b + 4b = 0 72 + -128b = -56 + 0 72 + -128b = -56 Add '-72' to each side of the equation. 72 + -72 + -128b = -56 + -72 Combine like terms: 72 + -72 = 0 0 + -128b = -56 + -72 -128b = -56 + -72 Combine like terms: -56 + -72 = -128 -128b = -128 Divide each side by '-128'. b = 1 Simplifying b = 1
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