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Simplifying 4 + 5z = -4z + 17 Reorder the terms: 4 + 5z = 17 + -4z Solving 4 + 5z = 17 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 4 + 5z + 4z = 17 + -4z + 4z Combine like terms: 5z + 4z = 9z 4 + 9z = 17 + -4z + 4z Combine like terms: -4z + 4z = 0 4 + 9z = 17 + 0 4 + 9z = 17 Add '-4' to each side of the equation. 4 + -4 + 9z = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 9z = 17 + -4 9z = 17 + -4 Combine like terms: 17 + -4 = 13 9z = 13 Divide each side by '9'. z = 1.444444444 Simplifying z = 1.444444444
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