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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: b + 3 + 1.5b + 15 + (-9 + 2b) = 90 Remove parenthesis around (-9 + 2b) b + 3 + 1.5b + 15 + -9 + 2b = 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: b + 1.5b = 2.5b 9 + 2.5b + 2b = 90 Combine like terms: 2.5b + 2b = 4.5b 9 + 4.5b = 90 Solving 9 + 4.5b = 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 + -9 + 4.5b = 90 + -9 Combine like terms: 9 + -9 = 0 0 + 4.5b = 90 + -9 4.5b = 90 + -9 Combine like terms: 90 + -9 = 81 4.5b = 81 Divide each side by '4.5'. b = 18 Simplifying b = 18
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