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