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Simplifying 1.50b + 6 + 0.50 = 15 + 2b Reorder the terms: 6 + 0.50 + 1.50b = 15 + 2b Combine like terms: 6 + 0.50 = 6.5 6.5 + 1.50b = 15 + 2b Solving 6.5 + 1.50b = 15 + 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. 6.5 + 1.50b + -2b = 15 + 2b + -2b Combine like terms: 1.50b + -2b = -0.5b 6.5 + -0.5b = 15 + 2b + -2b Combine like terms: 2b + -2b = 0 6.5 + -0.5b = 15 + 0 6.5 + -0.5b = 15 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -0.5b = 15 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -0.5b = 15 + -6.5 -0.5b = 15 + -6.5 Combine like terms: 15 + -6.5 = 8.5 -0.5b = 8.5 Divide each side by '-0.5'. b = -17 Simplifying b = -17
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