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Simplifying 2(b + 5) = 5(b + -2) Reorder the terms: 2(5 + b) = 5(b + -2) (5 * 2 + b * 2) = 5(b + -2) (10 + 2b) = 5(b + -2) Reorder the terms: 10 + 2b = 5(-2 + b) 10 + 2b = (-2 * 5 + b * 5) 10 + 2b = (-10 + 5b) Solving 10 + 2b = -10 + 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. 10 + 2b + -5b = -10 + 5b + -5b Combine like terms: 2b + -5b = -3b 10 + -3b = -10 + 5b + -5b Combine like terms: 5b + -5b = 0 10 + -3b = -10 + 0 10 + -3b = -10 Add '-10' to each side of the equation. 10 + -10 + -3b = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -3b = -10 + -10 -3b = -10 + -10 Combine like terms: -10 + -10 = -20 -3b = -20 Divide each side by '-3'. b = 6.666666667 Simplifying b = 6.666666667
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