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Simplifying 38 + -17 = -3z + 4 Combine like terms: 38 + -17 = 21 21 = -3z + 4 Reorder the terms: 21 = 4 + -3z Solving 21 = 4 + -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. 21 + 3z = 4 + -3z + 3z Combine like terms: -3z + 3z = 0 21 + 3z = 4 + 0 21 + 3z = 4 Add '-21' to each side of the equation. 21 + -21 + 3z = 4 + -21 Combine like terms: 21 + -21 = 0 0 + 3z = 4 + -21 3z = 4 + -21 Combine like terms: 4 + -21 = -17 3z = -17 Divide each side by '3'. z = -5.666666667 Simplifying z = -5.666666667
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