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Simplifying 8 + -2b = -0.667(12b + 6) Reorder the terms: 8 + -2b = -0.667(6 + 12b) 8 + -2b = (6 * -0.667 + 12b * -0.667) 8 + -2b = (-4.002 + -8.004b) Solving 8 + -2b = -4.002 + -8.004b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8.004b' to each side of the equation. 8 + -2b + 8.004b = -4.002 + -8.004b + 8.004b Combine like terms: -2b + 8.004b = 6.004b 8 + 6.004b = -4.002 + -8.004b + 8.004b Combine like terms: -8.004b + 8.004b = 0.000 8 + 6.004b = -4.002 + 0.000 8 + 6.004b = -4.002 Add '-8' to each side of the equation. 8 + -8 + 6.004b = -4.002 + -8 Combine like terms: 8 + -8 = 0 0 + 6.004b = -4.002 + -8 6.004b = -4.002 + -8 Combine like terms: -4.002 + -8 = -12.002 6.004b = -12.002 Divide each side by '6.004'. b = -1.999000666 Simplifying b = -1.999000666
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