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Simplifying 21 + -2 = 34 + 9z Combine like terms: 21 + -2 = 19 19 = 34 + 9z Solving 19 = 34 + 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. 19 + -9z = 34 + 9z + -9z Combine like terms: 9z + -9z = 0 19 + -9z = 34 + 0 19 + -9z = 34 Add '-19' to each side of the equation. 19 + -19 + -9z = 34 + -19 Combine like terms: 19 + -19 = 0 0 + -9z = 34 + -19 -9z = 34 + -19 Combine like terms: 34 + -19 = 15 -9z = 15 Divide each side by '-9'. z = -1.666666667 Simplifying z = -1.666666667
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