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Simplifying -0.5b + 3 = 2(b + 1) Reorder the terms: 3 + -0.5b = 2(b + 1) Reorder the terms: 3 + -0.5b = 2(1 + b) 3 + -0.5b = (1 * 2 + b * 2) 3 + -0.5b = (2 + 2b) Solving 3 + -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. 3 + -0.5b + -2b = 2 + 2b + -2b Combine like terms: -0.5b + -2b = -2.5b 3 + -2.5b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 3 + -2.5b = 2 + 0 3 + -2.5b = 2 Add '-3' to each side of the equation. 3 + -3 + -2.5b = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -2.5b = 2 + -3 -2.5b = 2 + -3 Combine like terms: 2 + -3 = -1 -2.5b = -1 Divide each side by '-2.5'. b = 0.4 Simplifying b = 0.4
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