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Simplifying 71 = 8z + 22 + 13z Reorder the terms: 71 = 22 + 8z + 13z Combine like terms: 8z + 13z = 21z 71 = 22 + 21z Solving 71 = 22 + 21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21z' to each side of the equation. 71 + -21z = 22 + 21z + -21z Combine like terms: 21z + -21z = 0 71 + -21z = 22 + 0 71 + -21z = 22 Add '-71' to each side of the equation. 71 + -71 + -21z = 22 + -71 Combine like terms: 71 + -71 = 0 0 + -21z = 22 + -71 -21z = 22 + -71 Combine like terms: 22 + -71 = -49 -21z = -49 Divide each side by '-21'. z = 2.333333333 Simplifying z = 2.333333333
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