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Simplifying 14 + -6z + -17 = 8z + 24 + -5z Reorder the terms: 14 + -17 + -6z = 8z + 24 + -5z Combine like terms: 14 + -17 = -3 -3 + -6z = 8z + 24 + -5z Reorder the terms: -3 + -6z = 24 + 8z + -5z Combine like terms: 8z + -5z = 3z -3 + -6z = 24 + 3z Solving -3 + -6z = 24 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -3 + -6z + -3z = 24 + 3z + -3z Combine like terms: -6z + -3z = -9z -3 + -9z = 24 + 3z + -3z Combine like terms: 3z + -3z = 0 -3 + -9z = 24 + 0 -3 + -9z = 24 Add '3' to each side of the equation. -3 + 3 + -9z = 24 + 3 Combine like terms: -3 + 3 = 0 0 + -9z = 24 + 3 -9z = 24 + 3 Combine like terms: 24 + 3 = 27 -9z = 27 Divide each side by '-9'. z = -3 Simplifying z = -3
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