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Simplifying 4z + -12b + 6 + -9b + -1z + 10 = 0 Reorder the terms: 6 + 10 + -12b + -9b + 4z + -1z = 0 Combine like terms: 6 + 10 = 16 16 + -12b + -9b + 4z + -1z = 0 Combine like terms: -12b + -9b = -21b 16 + -21b + 4z + -1z = 0 Combine like terms: 4z + -1z = 3z 16 + -21b + 3z = 0 Solving 16 + -21b + 3z = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -21b + -16 + 3z = 0 + -16 Reorder the terms: 16 + -16 + -21b + 3z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -21b + 3z = 0 + -16 -21b + 3z = 0 + -16 Combine like terms: 0 + -16 = -16 -21b + 3z = -16 Add '-3z' to each side of the equation. -21b + 3z + -3z = -16 + -3z Combine like terms: 3z + -3z = 0 -21b + 0 = -16 + -3z -21b = -16 + -3z Divide each side by '-21'. b = 0.7619047619 + 0.1428571429z Simplifying b = 0.7619047619 + 0.1428571429z
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