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Simplifying 0.5b + 4 = -2(b + 2) Reorder the terms: 4 + 0.5b = -2(b + 2) Reorder the terms: 4 + 0.5b = -2(2 + b) 4 + 0.5b = (2 * -2 + b * -2) 4 + 0.5b = (-4 + -2b) Solving 4 + 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. 4 + 0.5b + 2b = -4 + -2b + 2b Combine like terms: 0.5b + 2b = 2.5b 4 + 2.5b = -4 + -2b + 2b Combine like terms: -2b + 2b = 0 4 + 2.5b = -4 + 0 4 + 2.5b = -4 Add '-4' to each side of the equation. 4 + -4 + 2.5b = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 2.5b = -4 + -4 2.5b = -4 + -4 Combine like terms: -4 + -4 = -8 2.5b = -8 Divide each side by '2.5'. b = -3.2 Simplifying b = -3.2
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