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Simplifying -0.6(12b + 6) = 8 + -2b Reorder the terms: -0.6(6 + 12b) = 8 + -2b (6 * -0.6 + 12b * -0.6) = 8 + -2b (-3.6 + -7.2b) = 8 + -2b Solving -3.6 + -7.2b = 8 + -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. -3.6 + -7.2b + 2b = 8 + -2b + 2b Combine like terms: -7.2b + 2b = -5.2b -3.6 + -5.2b = 8 + -2b + 2b Combine like terms: -2b + 2b = 0 -3.6 + -5.2b = 8 + 0 -3.6 + -5.2b = 8 Add '3.6' to each side of the equation. -3.6 + 3.6 + -5.2b = 8 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + -5.2b = 8 + 3.6 -5.2b = 8 + 3.6 Combine like terms: 8 + 3.6 = 11.6 -5.2b = 11.6 Divide each side by '-5.2'. b = -2.230769231 Simplifying b = -2.230769231
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