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Simplifying b + (b + 45) + 90 + (2b + -90) + 1.5b = 540 Reorder the terms: b + (45 + b) + 90 + (2b + -90) + 1.5b = 540 Remove parenthesis around (45 + b) b + 45 + b + 90 + (2b + -90) + 1.5b = 540 Reorder the terms: b + 45 + b + 90 + (-90 + 2b) + 1.5b = 540 Remove parenthesis around (-90 + 2b) b + 45 + b + 90 + -90 + 2b + 1.5b = 540 Reorder the terms: 45 + 90 + -90 + b + b + 2b + 1.5b = 540 Combine like terms: 45 + 90 = 135 135 + -90 + b + b + 2b + 1.5b = 540 Combine like terms: 135 + -90 = 45 45 + b + b + 2b + 1.5b = 540 Combine like terms: b + b = 2b 45 + 2b + 2b + 1.5b = 540 Combine like terms: 2b + 2b = 4b 45 + 4b + 1.5b = 540 Combine like terms: 4b + 1.5b = 5.5b 45 + 5.5b = 540 Solving 45 + 5.5b = 540 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 + -45 + 5.5b = 540 + -45 Combine like terms: 45 + -45 = 0 0 + 5.5b = 540 + -45 5.5b = 540 + -45 Combine like terms: 540 + -45 = 495 5.5b = 495 Divide each side by '5.5'. b = 90 Simplifying b = 90
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