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Simplifying 5b + 2(b + 17) + (2b + -5) = 50 Reorder the terms: 5b + 2(17 + b) + (2b + -5) = 50 5b + (17 * 2 + b * 2) + (2b + -5) = 50 5b + (34 + 2b) + (2b + -5) = 50 Reorder the terms: 5b + 34 + 2b + (-5 + 2b) = 50 Remove parenthesis around (-5 + 2b) 5b + 34 + 2b + -5 + 2b = 50 Reorder the terms: 34 + -5 + 5b + 2b + 2b = 50 Combine like terms: 34 + -5 = 29 29 + 5b + 2b + 2b = 50 Combine like terms: 5b + 2b = 7b 29 + 7b + 2b = 50 Combine like terms: 7b + 2b = 9b 29 + 9b = 50 Solving 29 + 9b = 50 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 9b = 50 + -29 Combine like terms: 29 + -29 = 0 0 + 9b = 50 + -29 9b = 50 + -29 Combine like terms: 50 + -29 = 21 9b = 21 Divide each side by '9'. b = 2.333333333 Simplifying b = 2.333333333
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