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Simplifying 15 + b = 1.5(b + 2) Reorder the terms: 15 + b = 1.5(2 + b) 15 + b = (2 * 1.5 + b * 1.5) 15 + b = (3 + 1.5b) Solving 15 + b = 3 + 1.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1.5b' to each side of the equation. 15 + b + -1.5b = 3 + 1.5b + -1.5b Combine like terms: b + -1.5b = -0.5b 15 + -0.5b = 3 + 1.5b + -1.5b Combine like terms: 1.5b + -1.5b = 0.0 15 + -0.5b = 3 + 0.0 15 + -0.5b = 3 Add '-15' to each side of the equation. 15 + -15 + -0.5b = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -0.5b = 3 + -15 -0.5b = 3 + -15 Combine like terms: 3 + -15 = -12 -0.5b = -12 Divide each side by '-0.5'. b = 24 Simplifying b = 24
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