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Simplifying b + 1.5(b + 2) + 15 + 26 + -9 = 90 Reorder the terms: b + 1.5(2 + b) + 15 + 26 + -9 = 90 b + (2 * 1.5 + b * 1.5) + 15 + 26 + -9 = 90 b + (3 + 1.5b) + 15 + 26 + -9 = 90 Reorder the terms: 3 + 15 + 26 + -9 + b + 1.5b = 90 Combine like terms: 3 + 15 = 18 18 + 26 + -9 + b + 1.5b = 90 Combine like terms: 18 + 26 = 44 44 + -9 + b + 1.5b = 90 Combine like terms: 44 + -9 = 35 35 + b + 1.5b = 90 Combine like terms: b + 1.5b = 2.5b 35 + 2.5b = 90 Solving 35 + 2.5b = 90 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 2.5b = 90 + -35 Combine like terms: 35 + -35 = 0 0 + 2.5b = 90 + -35 2.5b = 90 + -35 Combine like terms: 90 + -35 = 55 2.5b = 55 Divide each side by '2.5'. b = 22 Simplifying b = 22
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