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Simplifying 3z + 8b + 8 + 12b + -8z + 3 = 0 Reorder the terms: 8 + 3 + 8b + 12b + 3z + -8z = 0 Combine like terms: 8 + 3 = 11 11 + 8b + 12b + 3z + -8z = 0 Combine like terms: 8b + 12b = 20b 11 + 20b + 3z + -8z = 0 Combine like terms: 3z + -8z = -5z 11 + 20b + -5z = 0 Solving 11 + 20b + -5z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 20b + -11 + -5z = 0 + -11 Reorder the terms: 11 + -11 + 20b + -5z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 20b + -5z = 0 + -11 20b + -5z = 0 + -11 Combine like terms: 0 + -11 = -11 20b + -5z = -11 Add '5z' to each side of the equation. 20b + -5z + 5z = -11 + 5z Combine like terms: -5z + 5z = 0 20b + 0 = -11 + 5z 20b = -11 + 5z Divide each side by '20'. b = -0.55 + 0.25z Simplifying b = -0.55 + 0.25z
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