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Simplifying 0.4(b + -32) = 0.8b Reorder the terms: 0.4(-32 + b) = 0.8b (-32 * 0.4 + b * 0.4) = 0.8b (-12.8 + 0.4b) = 0.8b Solving -12.8 + 0.4b = 0.8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.8b' to each side of the equation. -12.8 + 0.4b + -0.8b = 0.8b + -0.8b Combine like terms: 0.4b + -0.8b = -0.4b -12.8 + -0.4b = 0.8b + -0.8b Combine like terms: 0.8b + -0.8b = 0.0 -12.8 + -0.4b = 0.0 Add '12.8' to each side of the equation. -12.8 + 12.8 + -0.4b = 0.0 + 12.8 Combine like terms: -12.8 + 12.8 = 0.0 0.0 + -0.4b = 0.0 + 12.8 -0.4b = 0.0 + 12.8 Combine like terms: 0.0 + 12.8 = 12.8 -0.4b = 12.8 Divide each side by '-0.4'. b = -32 Simplifying b = -32
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