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Simplifying 0.2(b + -12) = 0.4b Reorder the terms: 0.2(-12 + b) = 0.4b (-12 * 0.2 + b * 0.2) = 0.4b (-2.4 + 0.2b) = 0.4b Solving -2.4 + 0.2b = 0.4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.4b' to each side of the equation. -2.4 + 0.2b + -0.4b = 0.4b + -0.4b Combine like terms: 0.2b + -0.4b = -0.2b -2.4 + -0.2b = 0.4b + -0.4b Combine like terms: 0.4b + -0.4b = 0.0 -2.4 + -0.2b = 0.0 Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.2b = 0.0 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.2b = 0.0 + 2.4 -0.2b = 0.0 + 2.4 Combine like terms: 0.0 + 2.4 = 2.4 -0.2b = 2.4 Divide each side by '-0.2'. b = -12 Simplifying b = -12
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