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Simplifying 0.5(2b + -4) = 2 + 8b Reorder the terms: 0.5(-4 + 2b) = 2 + 8b (-4 * 0.5 + 2b * 0.5) = 2 + 8b (-2 + 1b) = 2 + 8b Solving -2 + 1b = 2 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -2 + 1b + -8b = 2 + 8b + -8b Combine like terms: 1b + -8b = -7b -2 + -7b = 2 + 8b + -8b Combine like terms: 8b + -8b = 0 -2 + -7b = 2 + 0 -2 + -7b = 2 Add '2' to each side of the equation. -2 + 2 + -7b = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -7b = 2 + 2 -7b = 2 + 2 Combine like terms: 2 + 2 = 4 -7b = 4 Divide each side by '-7'. b = -0.5714285714 Simplifying b = -0.5714285714
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