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Simplifying 1.5(b + 2) = 2b + -9 Reorder the terms: 1.5(2 + b) = 2b + -9 (2 * 1.5 + b * 1.5) = 2b + -9 (3 + 1.5b) = 2b + -9 Reorder the terms: 3 + 1.5b = -9 + 2b Solving 3 + 1.5b = -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. 3 + 1.5b + -2b = -9 + 2b + -2b Combine like terms: 1.5b + -2b = -0.5b 3 + -0.5b = -9 + 2b + -2b Combine like terms: 2b + -2b = 0 3 + -0.5b = -9 + 0 3 + -0.5b = -9 Add '-3' to each side of the equation. 3 + -3 + -0.5b = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5b = -9 + -3 -0.5b = -9 + -3 Combine like terms: -9 + -3 = -12 -0.5b = -12 Divide each side by '-0.5'. b = 24 Simplifying b = 24
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