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Simplifying 0.5b + 4 = (2b + 2) Reorder the terms: 4 + 0.5b = (2b + 2) Reorder the terms: 4 + 0.5b = (2 + 2b) Remove parenthesis around (2 + 2b) 4 + 0.5b = 2 + 2b Solving 4 + 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. 4 + 0.5b + -2b = 2 + 2b + -2b Combine like terms: 0.5b + -2b = -1.5b 4 + -1.5b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 4 + -1.5b = 2 + 0 4 + -1.5b = 2 Add '-4' to each side of the equation. 4 + -4 + -1.5b = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1.5b = 2 + -4 -1.5b = 2 + -4 Combine like terms: 2 + -4 = -2 -1.5b = -2 Divide each side by '-1.5'. b = 1.333333333 Simplifying b = 1.333333333
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