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Simplifying 1.5(b + 2) * 15 = 2b + -9 Reorder the terms: 1.5(2 + b) * 15 = 2b + -9 Reorder the terms for easier multiplication: 1.5 * 15(2 + b) = 2b + -9 Multiply 1.5 * 15 22.5(2 + b) = 2b + -9 (2 * 22.5 + b * 22.5) = 2b + -9 (45 + 22.5b) = 2b + -9 Reorder the terms: 45 + 22.5b = -9 + 2b Solving 45 + 22.5b = -9 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 45 + 22.5b + -2b = -9 + 2b + -2b Combine like terms: 22.5b + -2b = 20.5b 45 + 20.5b = -9 + 2b + -2b Combine like terms: 2b + -2b = 0 45 + 20.5b = -9 + 0 45 + 20.5b = -9 Add '-45' to each side of the equation. 45 + -45 + 20.5b = -9 + -45 Combine like terms: 45 + -45 = 0 0 + 20.5b = -9 + -45 20.5b = -9 + -45 Combine like terms: -9 + -45 = -54 20.5b = -54 Divide each side by '20.5'. b = -2.634146341 Simplifying b = -2.634146341
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