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Simplifying 3z + 7 = 9z + -17 Reorder the terms: 7 + 3z = 9z + -17 Reorder the terms: 7 + 3z = -17 + 9z Solving 7 + 3z = -17 + 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. 7 + 3z + -9z = -17 + 9z + -9z Combine like terms: 3z + -9z = -6z 7 + -6z = -17 + 9z + -9z Combine like terms: 9z + -9z = 0 7 + -6z = -17 + 0 7 + -6z = -17 Add '-7' to each side of the equation. 7 + -7 + -6z = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -6z = -17 + -7 -6z = -17 + -7 Combine like terms: -17 + -7 = -24 -6z = -24 Divide each side by '-6'. z = 4 Simplifying z = 4
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