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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 Reorder the terms for easier multiplication: B + 1.5 * 15(2 + b) + 2b + -9 = 90 Multiply 1.5 * 15 B + 22.5(2 + b) + 2b + -9 = 90 B + (2 * 22.5 + b * 22.5) + 2b + -9 = 90 B + (45 + 22.5b) + 2b + -9 = 90 Reorder the terms: 45 + -9 + B + 22.5b + 2b = 90 Combine like terms: 45 + -9 = 36 36 + B + 22.5b + 2b = 90 Combine like terms: 22.5b + 2b = 24.5b 36 + B + 24.5b = 90 Solving 36 + B + 24.5b = 90 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + B + -36 + 24.5b = 90 + -36 Reorder the terms: 36 + -36 + B + 24.5b = 90 + -36 Combine like terms: 36 + -36 = 0 0 + B + 24.5b = 90 + -36 B + 24.5b = 90 + -36 Combine like terms: 90 + -36 = 54 B + 24.5b = 54 Add '-24.5b' to each side of the equation. B + 24.5b + -24.5b = 54 + -24.5b Combine like terms: 24.5b + -24.5b = 0.0 B + 0.0 = 54 + -24.5b B = 54 + -24.5b Simplifying B = 54 + -24.5b
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