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Simplifying 6b + 17.9 = 2b + 49.9 Reorder the terms: 17.9 + 6b = 2b + 49.9 Reorder the terms: 17.9 + 6b = 49.9 + 2b Solving 17.9 + 6b = 49.9 + 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. 17.9 + 6b + -2b = 49.9 + 2b + -2b Combine like terms: 6b + -2b = 4b 17.9 + 4b = 49.9 + 2b + -2b Combine like terms: 2b + -2b = 0 17.9 + 4b = 49.9 + 0 17.9 + 4b = 49.9 Add '-17.9' to each side of the equation. 17.9 + -17.9 + 4b = 49.9 + -17.9 Combine like terms: 17.9 + -17.9 = 0.0 0.0 + 4b = 49.9 + -17.9 4b = 49.9 + -17.9 Combine like terms: 49.9 + -17.9 = 32 4b = 32 Divide each side by '4'. b = 8 Simplifying b = 8
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