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Simplifying 7b + -0.5 = 2b + 4.5 Reorder the terms: -0.5 + 7b = 2b + 4.5 Reorder the terms: -0.5 + 7b = 4.5 + 2b Solving -0.5 + 7b = 4.5 + 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. -0.5 + 7b + -2b = 4.5 + 2b + -2b Combine like terms: 7b + -2b = 5b -0.5 + 5b = 4.5 + 2b + -2b Combine like terms: 2b + -2b = 0 -0.5 + 5b = 4.5 + 0 -0.5 + 5b = 4.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 5b = 4.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 5b = 4.5 + 0.5 5b = 4.5 + 0.5 Combine like terms: 4.5 + 0.5 = 5 5b = 5 Divide each side by '5'. b = 1 Simplifying b = 1
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