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Simplifying 2(4b + 11) = 5(b + -4) Reorder the terms: 2(11 + 4b) = 5(b + -4) (11 * 2 + 4b * 2) = 5(b + -4) (22 + 8b) = 5(b + -4) Reorder the terms: 22 + 8b = 5(-4 + b) 22 + 8b = (-4 * 5 + b * 5) 22 + 8b = (-20 + 5b) Solving 22 + 8b = -20 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 22 + 8b + -5b = -20 + 5b + -5b Combine like terms: 8b + -5b = 3b 22 + 3b = -20 + 5b + -5b Combine like terms: 5b + -5b = 0 22 + 3b = -20 + 0 22 + 3b = -20 Add '-22' to each side of the equation. 22 + -22 + 3b = -20 + -22 Combine like terms: 22 + -22 = 0 0 + 3b = -20 + -22 3b = -20 + -22 Combine like terms: -20 + -22 = -42 3b = -42 Divide each side by '3'. b = -14 Simplifying b = -14
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