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Simplifying B + 0.75b + (b + 45) + 1.5b + (2b + -90) + 90 = 520 Reorder the terms: B + 0.75b + (45 + b) + 1.5b + (2b + -90) + 90 = 520 Remove parenthesis around (45 + b) B + 0.75b + 45 + b + 1.5b + (2b + -90) + 90 = 520 Reorder the terms: B + 0.75b + 45 + b + 1.5b + (-90 + 2b) + 90 = 520 Remove parenthesis around (-90 + 2b) B + 0.75b + 45 + b + 1.5b + -90 + 2b + 90 = 520 Reorder the terms: 45 + -90 + 90 + B + 0.75b + b + 1.5b + 2b = 520 Combine like terms: 45 + -90 = -45 -45 + 90 + B + 0.75b + b + 1.5b + 2b = 520 Combine like terms: -45 + 90 = 45 45 + B + 0.75b + b + 1.5b + 2b = 520 Combine like terms: 0.75b + b = 1.75b 45 + B + 1.75b + 1.5b + 2b = 520 Combine like terms: 1.75b + 1.5b = 3.25b 45 + B + 3.25b + 2b = 520 Combine like terms: 3.25b + 2b = 5.25b 45 + B + 5.25b = 520 Solving 45 + B + 5.25b = 520 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + B + -45 + 5.25b = 520 + -45 Reorder the terms: 45 + -45 + B + 5.25b = 520 + -45 Combine like terms: 45 + -45 = 0 0 + B + 5.25b = 520 + -45 B + 5.25b = 520 + -45 Combine like terms: 520 + -45 = 475 B + 5.25b = 475 Add '-5.25b' to each side of the equation. B + 5.25b + -5.25b = 475 + -5.25b Combine like terms: 5.25b + -5.25b = 0.00 B + 0.00 = 475 + -5.25b B = 475 + -5.25b Simplifying B = 475 + -5.25b
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