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Simplifying -4(-11b + -19) = -20 + 20b Reorder the terms: -4(-19 + -11b) = -20 + 20b (-19 * -4 + -11b * -4) = -20 + 20b (76 + 44b) = -20 + 20b Solving 76 + 44b = -20 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 76 + 44b + -20b = -20 + 20b + -20b Combine like terms: 44b + -20b = 24b 76 + 24b = -20 + 20b + -20b Combine like terms: 20b + -20b = 0 76 + 24b = -20 + 0 76 + 24b = -20 Add '-76' to each side of the equation. 76 + -76 + 24b = -20 + -76 Combine like terms: 76 + -76 = 0 0 + 24b = -20 + -76 24b = -20 + -76 Combine like terms: -20 + -76 = -96 24b = -96 Divide each side by '24'. b = -4 Simplifying b = -4
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