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Simplifying -10(7b + 11) + -5(2 + -11b) = 8b + b Reorder the terms: -10(11 + 7b) + -5(2 + -11b) = 8b + b (11 * -10 + 7b * -10) + -5(2 + -11b) = 8b + b (-110 + -70b) + -5(2 + -11b) = 8b + b -110 + -70b + (2 * -5 + -11b * -5) = 8b + b -110 + -70b + (-10 + 55b) = 8b + b Reorder the terms: -110 + -10 + -70b + 55b = 8b + b Combine like terms: -110 + -10 = -120 -120 + -70b + 55b = 8b + b Combine like terms: -70b + 55b = -15b -120 + -15b = 8b + b Combine like terms: 8b + b = 9b -120 + -15b = 9b Solving -120 + -15b = 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -120 + -15b + -9b = 9b + -9b Combine like terms: -15b + -9b = -24b -120 + -24b = 9b + -9b Combine like terms: 9b + -9b = 0 -120 + -24b = 0 Add '120' to each side of the equation. -120 + 120 + -24b = 0 + 120 Combine like terms: -120 + 120 = 0 0 + -24b = 0 + 120 -24b = 0 + 120 Combine like terms: 0 + 120 = 120 -24b = 120 Divide each side by '-24'. b = -5 Simplifying b = -5
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