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Simplifying (b + 45) + (2b + -90) + b + 90 = 540 Reorder the terms: (45 + b) + (2b + -90) + b + 90 = 540 Remove parenthesis around (45 + b) 45 + b + (2b + -90) + b + 90 = 540 Reorder the terms: 45 + b + (-90 + 2b) + b + 90 = 540 Remove parenthesis around (-90 + 2b) 45 + b + -90 + 2b + b + 90 = 540 Reorder the terms: 45 + -90 + 90 + b + 2b + b = 540 Combine like terms: 45 + -90 = -45 -45 + 90 + b + 2b + b = 540 Combine like terms: -45 + 90 = 45 45 + b + 2b + b = 540 Combine like terms: b + 2b = 3b 45 + 3b + b = 540 Combine like terms: 3b + b = 4b 45 + 4b = 540 Solving 45 + 4b = 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 + 4b = 540 + -45 Combine like terms: 45 + -45 = 0 0 + 4b = 540 + -45 4b = 540 + -45 Combine like terms: 540 + -45 = 495 4b = 495 Divide each side by '4'. b = 123.75 Simplifying b = 123.75
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