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Simplifying 0.2(b + -12) = 0.6b Reorder the terms: 0.2(-12 + b) = 0.6b (-12 * 0.2 + b * 0.2) = 0.6b (-2.4 + 0.2b) = 0.6b Solving -2.4 + 0.2b = 0.6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-0.6b' to each side of the equation. -2.4 + 0.2b + -0.6b = 0.6b + -0.6b Combine like terms: 0.2b + -0.6b = -0.4b -2.4 + -0.4b = 0.6b + -0.6b Combine like terms: 0.6b + -0.6b = 0.0 -2.4 + -0.4b = 0.0 Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.4b = 0.0 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.4b = 0.0 + 2.4 -0.4b = 0.0 + 2.4 Combine like terms: 0.0 + 2.4 = 2.4 -0.4b = 2.4 Divide each side by '-0.4'. b = -6 Simplifying b = -6
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