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Simplifying -7b + -9(b + -12) = -4(3b + -11) Reorder the terms: -7b + -9(-12 + b) = -4(3b + -11) -7b + (-12 * -9 + b * -9) = -4(3b + -11) -7b + (108 + -9b) = -4(3b + -11) Reorder the terms: 108 + -7b + -9b = -4(3b + -11) Combine like terms: -7b + -9b = -16b 108 + -16b = -4(3b + -11) Reorder the terms: 108 + -16b = -4(-11 + 3b) 108 + -16b = (-11 * -4 + 3b * -4) 108 + -16b = (44 + -12b) Solving 108 + -16b = 44 + -12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12b' to each side of the equation. 108 + -16b + 12b = 44 + -12b + 12b Combine like terms: -16b + 12b = -4b 108 + -4b = 44 + -12b + 12b Combine like terms: -12b + 12b = 0 108 + -4b = 44 + 0 108 + -4b = 44 Add '-108' to each side of the equation. 108 + -108 + -4b = 44 + -108 Combine like terms: 108 + -108 = 0 0 + -4b = 44 + -108 -4b = 44 + -108 Combine like terms: 44 + -108 = -64 -4b = -64 Divide each side by '-4'. b = 16 Simplifying b = 16
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