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Simplifying 5z + 1 = 9z + -17 Reorder the terms: 1 + 5z = 9z + -17 Reorder the terms: 1 + 5z = -17 + 9z Solving 1 + 5z = -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. 1 + 5z + -9z = -17 + 9z + -9z Combine like terms: 5z + -9z = -4z 1 + -4z = -17 + 9z + -9z Combine like terms: 9z + -9z = 0 1 + -4z = -17 + 0 1 + -4z = -17 Add '-1' to each side of the equation. 1 + -1 + -4z = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -4z = -17 + -1 -4z = -17 + -1 Combine like terms: -17 + -1 = -18 -4z = -18 Divide each side by '-4'. z = 4.5 Simplifying z = 4.5
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