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Simplifying 46b + -42b + 9b + 10b + -21b + -1 = 39 Reorder the terms: -1 + 46b + -42b + 9b + 10b + -21b = 39 Combine like terms: 46b + -42b = 4b -1 + 4b + 9b + 10b + -21b = 39 Combine like terms: 4b + 9b = 13b -1 + 13b + 10b + -21b = 39 Combine like terms: 13b + 10b = 23b -1 + 23b + -21b = 39 Combine like terms: 23b + -21b = 2b -1 + 2b = 39 Solving -1 + 2b = 39 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2b = 39 + 1 Combine like terms: -1 + 1 = 0 0 + 2b = 39 + 1 2b = 39 + 1 Combine like terms: 39 + 1 = 40 2b = 40 Divide each side by '2'. b = 20 Simplifying b = 20
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