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Simplifying b + 7 = 0.5b + 17 Reorder the terms: 7 + b = 0.5b + 17 Reorder the terms: 7 + b = 17 + 0.5b Solving 7 + b = 17 + 0.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.5b' to each side of the equation. 7 + b + -0.5b = 17 + 0.5b + -0.5b Combine like terms: b + -0.5b = 0.5b 7 + 0.5b = 17 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 7 + 0.5b = 17 + 0.0 7 + 0.5b = 17 Add '-7' to each side of the equation. 7 + -7 + 0.5b = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 0.5b = 17 + -7 0.5b = 17 + -7 Combine like terms: 17 + -7 = 10 0.5b = 10 Divide each side by '0.5'. b = 20 Simplifying b = 20
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