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Simplifying 5.5 + -5 = 0.5b + 1 Combine like terms: 5.5 + -5 = 0.5 0.5 = 0.5b + 1 Reorder the terms: 0.5 = 1 + 0.5b Solving 0.5 = 1 + 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. 0.5 + -0.5b = 1 + 0.5b + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 0.5 + -0.5b = 1 + 0.0 0.5 + -0.5b = 1 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.5b = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5b = 1 + -0.5 -0.5b = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 -0.5b = 0.5 Divide each side by '-0.5'. b = -1 Simplifying b = -1
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