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Simplifying 17 + -14z = -17 + -6z + -6 Reorder the terms: 17 + -14z = -17 + -6 + -6z Combine like terms: -17 + -6 = -23 17 + -14z = -23 + -6z Solving 17 + -14z = -23 + -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. 17 + -14z + 6z = -23 + -6z + 6z Combine like terms: -14z + 6z = -8z 17 + -8z = -23 + -6z + 6z Combine like terms: -6z + 6z = 0 17 + -8z = -23 + 0 17 + -8z = -23 Add '-17' to each side of the equation. 17 + -17 + -8z = -23 + -17 Combine like terms: 17 + -17 = 0 0 + -8z = -23 + -17 -8z = -23 + -17 Combine like terms: -23 + -17 = -40 -8z = -40 Divide each side by '-8'. z = 5 Simplifying z = 5
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