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Simplifying 1.5(b + 2) + (2b + -9) + 15 = 90 Reorder the terms: 1.5(2 + b) + (2b + -9) + 15 = 90 (2 * 1.5 + b * 1.5) + (2b + -9) + 15 = 90 (3 + 1.5b) + (2b + -9) + 15 = 90 Reorder the terms: 3 + 1.5b + (-9 + 2b) + 15 = 90 Remove parenthesis around (-9 + 2b) 3 + 1.5b + -9 + 2b + 15 = 90 Reorder the terms: 3 + -9 + 15 + 1.5b + 2b = 90 Combine like terms: 3 + -9 = -6 -6 + 15 + 1.5b + 2b = 90 Combine like terms: -6 + 15 = 9 9 + 1.5b + 2b = 90 Combine like terms: 1.5b + 2b = 3.5b 9 + 3.5b = 90 Solving 9 + 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 + -9 + 3.5b = 90 + -9 Combine like terms: 9 + -9 = 0 0 + 3.5b = 90 + -9 3.5b = 90 + -9 Combine like terms: 90 + -9 = 81 3.5b = 81 Divide each side by '3.5'. b = 23.14285714 Simplifying b = 23.14285714
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