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Simplifying 0.5b + 3 = 2(b + 3) Reorder the terms: 3 + 0.5b = 2(b + 3) Reorder the terms: 3 + 0.5b = 2(3 + b) 3 + 0.5b = (3 * 2 + b * 2) 3 + 0.5b = (6 + 2b) Solving 3 + 0.5b = 6 + 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. 3 + 0.5b + -2b = 6 + 2b + -2b Combine like terms: 0.5b + -2b = -1.5b 3 + -1.5b = 6 + 2b + -2b Combine like terms: 2b + -2b = 0 3 + -1.5b = 6 + 0 3 + -1.5b = 6 Add '-3' to each side of the equation. 3 + -3 + -1.5b = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -1.5b = 6 + -3 -1.5b = 6 + -3 Combine like terms: 6 + -3 = 3 -1.5b = 3 Divide each side by '-1.5'. b = -2 Simplifying b = -2
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