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Simplifying 3z + -17 = -71 + 9z Reorder the terms: -17 + 3z = -71 + 9z Solving -17 + 3z = -71 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -17 + 3z + -9z = -71 + 9z + -9z Combine like terms: 3z + -9z = -6z -17 + -6z = -71 + 9z + -9z Combine like terms: 9z + -9z = 0 -17 + -6z = -71 + 0 -17 + -6z = -71 Add '17' to each side of the equation. -17 + 17 + -6z = -71 + 17 Combine like terms: -17 + 17 = 0 0 + -6z = -71 + 17 -6z = -71 + 17 Combine like terms: -71 + 17 = -54 -6z = -54 Divide each side by '-6'. z = 9 Simplifying z = 9
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