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Simplifying 32b + 5b + -13 = 7b + 6 Reorder the terms: -13 + 32b + 5b = 7b + 6 Combine like terms: 32b + 5b = 37b -13 + 37b = 7b + 6 Reorder the terms: -13 + 37b = 6 + 7b Solving -13 + 37b = 6 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -13 + 37b + -7b = 6 + 7b + -7b Combine like terms: 37b + -7b = 30b -13 + 30b = 6 + 7b + -7b Combine like terms: 7b + -7b = 0 -13 + 30b = 6 + 0 -13 + 30b = 6 Add '13' to each side of the equation. -13 + 13 + 30b = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 30b = 6 + 13 30b = 6 + 13 Combine like terms: 6 + 13 = 19 30b = 19 Divide each side by '30'. b = 0.6333333333 Simplifying b = 0.6333333333
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