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Simplifying B + 1.5(b + 2) + 15 + 2b + -9 = 90 Reorder the terms: B + 1.5(2 + b) + 15 + 2b + -9 = 90 B + (2 * 1.5 + b * 1.5) + 15 + 2b + -9 = 90 B + (3 + 1.5b) + 15 + 2b + -9 = 90 Reorder the terms: 3 + 15 + -9 + B + 1.5b + 2b = 90 Combine like terms: 3 + 15 = 18 18 + -9 + B + 1.5b + 2b = 90 Combine like terms: 18 + -9 = 9 9 + B + 1.5b + 2b = 90 Combine like terms: 1.5b + 2b = 3.5b 9 + B + 3.5b = 90 Solving 9 + B + 3.5b = 90 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + B + -9 + 3.5b = 90 + -9 Reorder the terms: 9 + -9 + B + 3.5b = 90 + -9 Combine like terms: 9 + -9 = 0 0 + B + 3.5b = 90 + -9 B + 3.5b = 90 + -9 Combine like terms: 90 + -9 = 81 B + 3.5b = 81 Add '-3.5b' to each side of the equation. B + 3.5b + -3.5b = 81 + -3.5b Combine like terms: 3.5b + -3.5b = 0.0 B + 0.0 = 81 + -3.5b B = 81 + -3.5b Simplifying B = 81 + -3.5b
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