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Simplifying 5(b + -2) = 2(5 + -1b) Reorder the terms: 5(-2 + b) = 2(5 + -1b) (-2 * 5 + b * 5) = 2(5 + -1b) (-10 + 5b) = 2(5 + -1b) -10 + 5b = (5 * 2 + -1b * 2) -10 + 5b = (10 + -2b) Solving -10 + 5b = 10 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -10 + 5b + 2b = 10 + -2b + 2b Combine like terms: 5b + 2b = 7b -10 + 7b = 10 + -2b + 2b Combine like terms: -2b + 2b = 0 -10 + 7b = 10 + 0 -10 + 7b = 10 Add '10' to each side of the equation. -10 + 10 + 7b = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 7b = 10 + 10 7b = 10 + 10 Combine like terms: 10 + 10 = 20 7b = 20 Divide each side by '7'. b = 2.857142857 Simplifying b = 2.857142857
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