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Simplifying 90 = b + 1.5(b + 2) * 15 + 2b + -9 Reorder the terms: 90 = b + 1.5(2 + b) * 15 + 2b + -9 Reorder the terms for easier multiplication: 90 = b + 1.5 * 15(2 + b) + 2b + -9 Multiply 1.5 * 15 90 = b + 22.5(2 + b) + 2b + -9 90 = b + (2 * 22.5 + b * 22.5) + 2b + -9 90 = b + (45 + 22.5b) + 2b + -9 Reorder the terms: 90 = 45 + -9 + b + 22.5b + 2b Combine like terms: 45 + -9 = 36 90 = 36 + b + 22.5b + 2b Combine like terms: b + 22.5b = 23.5b 90 = 36 + 23.5b + 2b Combine like terms: 23.5b + 2b = 25.5b 90 = 36 + 25.5b Solving 90 = 36 + 25.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25.5b' to each side of the equation. 90 + -25.5b = 36 + 25.5b + -25.5b Combine like terms: 25.5b + -25.5b = 0.0 90 + -25.5b = 36 + 0.0 90 + -25.5b = 36 Add '-90' to each side of the equation. 90 + -90 + -25.5b = 36 + -90 Combine like terms: 90 + -90 = 0 0 + -25.5b = 36 + -90 -25.5b = 36 + -90 Combine like terms: 36 + -90 = -54 -25.5b = -54 Divide each side by '-25.5'. b = 2.117647059 Simplifying b = 2.117647059
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