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Simplifying 0.5b + 5 = 2(b + 2) Reorder the terms: 5 + 0.5b = 2(b + 2) Reorder the terms: 5 + 0.5b = 2(2 + b) 5 + 0.5b = (2 * 2 + b * 2) 5 + 0.5b = (4 + 2b) Solving 5 + 0.5b = 4 + 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. 5 + 0.5b + -2b = 4 + 2b + -2b Combine like terms: 0.5b + -2b = -1.5b 5 + -1.5b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 5 + -1.5b = 4 + 0 5 + -1.5b = 4 Add '-5' to each side of the equation. 5 + -5 + -1.5b = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5b = 4 + -5 -1.5b = 4 + -5 Combine like terms: 4 + -5 = -1 -1.5b = -1 Divide each side by '-1.5'. b = 0.6666666667 Simplifying b = 0.6666666667
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