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Simplifying 540 = b + (b + 45) + 1.5b + (2b + -90) + 90 Reorder the terms: 540 = b + (45 + b) + 1.5b + (2b + -90) + 90 Remove parenthesis around (45 + b) 540 = b + 45 + b + 1.5b + (2b + -90) + 90 Reorder the terms: 540 = b + 45 + b + 1.5b + (-90 + 2b) + 90 Remove parenthesis around (-90 + 2b) 540 = b + 45 + b + 1.5b + -90 + 2b + 90 Reorder the terms: 540 = 45 + -90 + 90 + b + b + 1.5b + 2b Combine like terms: 45 + -90 = -45 540 = -45 + 90 + b + b + 1.5b + 2b Combine like terms: -45 + 90 = 45 540 = 45 + b + b + 1.5b + 2b Combine like terms: b + b = 2b 540 = 45 + 2b + 1.5b + 2b Combine like terms: 2b + 1.5b = 3.5b 540 = 45 + 3.5b + 2b Combine like terms: 3.5b + 2b = 5.5b 540 = 45 + 5.5b Solving 540 = 45 + 5.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5.5b' to each side of the equation. 540 + -5.5b = 45 + 5.5b + -5.5b Combine like terms: 5.5b + -5.5b = 0.0 540 + -5.5b = 45 + 0.0 540 + -5.5b = 45 Add '-540' to each side of the equation. 540 + -540 + -5.5b = 45 + -540 Combine like terms: 540 + -540 = 0 0 + -5.5b = 45 + -540 -5.5b = 45 + -540 Combine like terms: 45 + -540 = -495 -5.5b = -495 Divide each side by '-5.5'. b = 90 Simplifying b = 90
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