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Simplifying 9 + 14z + -3 = 8z + 38 + -2z Reorder the terms: 9 + -3 + 14z = 8z + 38 + -2z Combine like terms: 9 + -3 = 6 6 + 14z = 8z + 38 + -2z Reorder the terms: 6 + 14z = 38 + 8z + -2z Combine like terms: 8z + -2z = 6z 6 + 14z = 38 + 6z Solving 6 + 14z = 38 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 6 + 14z + -6z = 38 + 6z + -6z Combine like terms: 14z + -6z = 8z 6 + 8z = 38 + 6z + -6z Combine like terms: 6z + -6z = 0 6 + 8z = 38 + 0 6 + 8z = 38 Add '-6' to each side of the equation. 6 + -6 + 8z = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 8z = 38 + -6 8z = 38 + -6 Combine like terms: 38 + -6 = 32 8z = 32 Divide each side by '8'. z = 4 Simplifying z = 4
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