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Simplifying 8z + 21 + -11z = 14z + -3z + 22 Reorder the terms: 21 + 8z + -11z = 14z + -3z + 22 Combine like terms: 8z + -11z = -3z 21 + -3z = 14z + -3z + 22 Reorder the terms: 21 + -3z = 22 + 14z + -3z Combine like terms: 14z + -3z = 11z 21 + -3z = 22 + 11z Solving 21 + -3z = 22 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 21 + -3z + -11z = 22 + 11z + -11z Combine like terms: -3z + -11z = -14z 21 + -14z = 22 + 11z + -11z Combine like terms: 11z + -11z = 0 21 + -14z = 22 + 0 21 + -14z = 22 Add '-21' to each side of the equation. 21 + -21 + -14z = 22 + -21 Combine like terms: 21 + -21 = 0 0 + -14z = 22 + -21 -14z = 22 + -21 Combine like terms: 22 + -21 = 1 -14z = 1 Divide each side by '-14'. z = -0.07142857143 Simplifying z = -0.07142857143
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