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Simplifying 6 = -17 + -3z Solving 6 = -17 + -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. 6 + 3z = -17 + -3z + 3z Combine like terms: -3z + 3z = 0 6 + 3z = -17 + 0 6 + 3z = -17 Add '-6' to each side of the equation. 6 + -6 + 3z = -17 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = -17 + -6 3z = -17 + -6 Combine like terms: -17 + -6 = -23 3z = -23 Divide each side by '3'. z = -7.666666667 Simplifying z = -7.666666667
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