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Simplifying 0.5b + 1 = 2b + 2 Reorder the terms: 1 + 0.5b = 2b + 2 Reorder the terms: 1 + 0.5b = 2 + 2b Solving 1 + 0.5b = 2 + 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. 1 + 0.5b + -2b = 2 + 2b + -2b Combine like terms: 0.5b + -2b = -1.5b 1 + -1.5b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 1 + -1.5b = 2 + 0 1 + -1.5b = 2 Add '-1' to each side of the equation. 1 + -1 + -1.5b = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5b = 2 + -1 -1.5b = 2 + -1 Combine like terms: 2 + -1 = 1 -1.5b = 1 Divide each side by '-1.5'. b = -0.6666666667 Simplifying b = -0.6666666667
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