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Simplifying b + 6.6b + 90(b + 45) + (2b + -90) = 540 Reorder the terms: b + 6.6b + 90(45 + b) + (2b + -90) = 540 b + 6.6b + (45 * 90 + b * 90) + (2b + -90) = 540 b + 6.6b + (4050 + 90b) + (2b + -90) = 540 Reorder the terms: b + 6.6b + 4050 + 90b + (-90 + 2b) = 540 Remove parenthesis around (-90 + 2b) b + 6.6b + 4050 + 90b + -90 + 2b = 540 Reorder the terms: 4050 + -90 + b + 6.6b + 90b + 2b = 540 Combine like terms: 4050 + -90 = 3960 3960 + b + 6.6b + 90b + 2b = 540 Combine like terms: b + 6.6b = 7.6b 3960 + 7.6b + 90b + 2b = 540 Combine like terms: 7.6b + 90b = 97.6b 3960 + 97.6b + 2b = 540 Combine like terms: 97.6b + 2b = 99.6b 3960 + 99.6b = 540 Solving 3960 + 99.6b = 540 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3960' to each side of the equation. 3960 + -3960 + 99.6b = 540 + -3960 Combine like terms: 3960 + -3960 = 0 0 + 99.6b = 540 + -3960 99.6b = 540 + -3960 Combine like terms: 540 + -3960 = -3420 99.6b = -3420 Divide each side by '99.6'. b = -34.3373494 Simplifying b = -34.3373494
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