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Simplifying 6b + -4.5 = 4b + 17.5 Reorder the terms: -4.5 + 6b = 4b + 17.5 Reorder the terms: -4.5 + 6b = 17.5 + 4b Solving -4.5 + 6b = 17.5 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -4.5 + 6b + -4b = 17.5 + 4b + -4b Combine like terms: 6b + -4b = 2b -4.5 + 2b = 17.5 + 4b + -4b Combine like terms: 4b + -4b = 0 -4.5 + 2b = 17.5 + 0 -4.5 + 2b = 17.5 Add '4.5' to each side of the equation. -4.5 + 4.5 + 2b = 17.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 2b = 17.5 + 4.5 2b = 17.5 + 4.5 Combine like terms: 17.5 + 4.5 = 22 2b = 22 Divide each side by '2'. b = 11 Simplifying b = 11
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