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Simplifying 90 + -15 + 2b + -9 + 1.5(b + 2) = b Reorder the terms: 90 + -15 + 2b + -9 + 1.5(2 + b) = b 90 + -15 + 2b + -9 + (2 * 1.5 + b * 1.5) = b 90 + -15 + 2b + -9 + (3 + 1.5b) = b Reorder the terms: 90 + -15 + -9 + 3 + 2b + 1.5b = b Combine like terms: 90 + -15 = 75 75 + -9 + 3 + 2b + 1.5b = b Combine like terms: 75 + -9 = 66 66 + 3 + 2b + 1.5b = b Combine like terms: 66 + 3 = 69 69 + 2b + 1.5b = b Combine like terms: 2b + 1.5b = 3.5b 69 + 3.5b = b Solving 69 + 3.5b = b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 69 + 3.5b + -1b = b + -1b Combine like terms: 3.5b + -1b = 2.5b 69 + 2.5b = b + -1b Combine like terms: b + -1b = 0 69 + 2.5b = 0 Add '-69' to each side of the equation. 69 + -69 + 2.5b = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 2.5b = 0 + -69 2.5b = 0 + -69 Combine like terms: 0 + -69 = -69 2.5b = -69 Divide each side by '2.5'. b = -27.6 Simplifying b = -27.6
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