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Simplifying 17 + -8z = 5 + -5z Solving 17 + -8z = 5 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 17 + -8z + 5z = 5 + -5z + 5z Combine like terms: -8z + 5z = -3z 17 + -3z = 5 + -5z + 5z Combine like terms: -5z + 5z = 0 17 + -3z = 5 + 0 17 + -3z = 5 Add '-17' to each side of the equation. 17 + -17 + -3z = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -3z = 5 + -17 -3z = 5 + -17 Combine like terms: 5 + -17 = -12 -3z = -12 Divide each side by '-3'. z = 4 Simplifying z = 4
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