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Simplifying B + 1.5(b + 2) + 15 + 26 = 90 Reorder the terms: B + 1.5(2 + b) + 15 + 26 = 90 B + (2 * 1.5 + b * 1.5) + 15 + 26 = 90 B + (3 + 1.5b) + 15 + 26 = 90 Reorder the terms: 3 + 15 + 26 + B + 1.5b = 90 Combine like terms: 3 + 15 = 18 18 + 26 + B + 1.5b = 90 Combine like terms: 18 + 26 = 44 44 + B + 1.5b = 90 Solving 44 + B + 1.5b = 90 Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + B + -44 + 1.5b = 90 + -44 Reorder the terms: 44 + -44 + B + 1.5b = 90 + -44 Combine like terms: 44 + -44 = 0 0 + B + 1.5b = 90 + -44 B + 1.5b = 90 + -44 Combine like terms: 90 + -44 = 46 B + 1.5b = 46 Add '-1.5b' to each side of the equation. B + 1.5b + -1.5b = 46 + -1.5b Combine like terms: 1.5b + -1.5b = 0.0 B + 0.0 = 46 + -1.5b B = 46 + -1.5b Simplifying B = 46 + -1.5b
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