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Simplifying -1(-5b + 20) = 5(-11b + 8) Reorder the terms: -1(20 + -5b) = 5(-11b + 8) (20 * -1 + -5b * -1) = 5(-11b + 8) (-20 + 5b) = 5(-11b + 8) Reorder the terms: -20 + 5b = 5(8 + -11b) -20 + 5b = (8 * 5 + -11b * 5) -20 + 5b = (40 + -55b) Solving -20 + 5b = 40 + -55b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '55b' to each side of the equation. -20 + 5b + 55b = 40 + -55b + 55b Combine like terms: 5b + 55b = 60b -20 + 60b = 40 + -55b + 55b Combine like terms: -55b + 55b = 0 -20 + 60b = 40 + 0 -20 + 60b = 40 Add '20' to each side of the equation. -20 + 20 + 60b = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 60b = 40 + 20 60b = 40 + 20 Combine like terms: 40 + 20 = 60 60b = 60 Divide each side by '60'. b = 1 Simplifying b = 1
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