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Simplifying 22 + 6z = 32z + 40 Reorder the terms: 22 + 6z = 40 + 32z Solving 22 + 6z = 40 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. 22 + 6z + -32z = 40 + 32z + -32z Combine like terms: 6z + -32z = -26z 22 + -26z = 40 + 32z + -32z Combine like terms: 32z + -32z = 0 22 + -26z = 40 + 0 22 + -26z = 40 Add '-22' to each side of the equation. 22 + -22 + -26z = 40 + -22 Combine like terms: 22 + -22 = 0 0 + -26z = 40 + -22 -26z = 40 + -22 Combine like terms: 40 + -22 = 18 -26z = 18 Divide each side by '-26'. z = -0.6923076923 Simplifying z = -0.6923076923
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