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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 + -9 + -15 + 1.5b + 2b = 90 Combine like terms: 3 + -9 = -6 -6 + -15 + 1.5b + 2b = 90 Combine like terms: -6 + -15 = -21 -21 + 1.5b + 2b = 90 Combine like terms: 1.5b + 2b = 3.5b -21 + 3.5b = 90 Solving -21 + 3.5b = 90 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3.5b = 90 + 21 Combine like terms: -21 + 21 = 0 0 + 3.5b = 90 + 21 3.5b = 90 + 21 Combine like terms: 90 + 21 = 111 3.5b = 111 Divide each side by '3.5'. b = 31.71428571 Simplifying b = 31.71428571
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