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Simplifying 3z + 9 = 4z + 17 Reorder the terms: 9 + 3z = 4z + 17 Reorder the terms: 9 + 3z = 17 + 4z Solving 9 + 3z = 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. 9 + 3z + -4z = 17 + 4z + -4z Combine like terms: 3z + -4z = -1z 9 + -1z = 17 + 4z + -4z Combine like terms: 4z + -4z = 0 9 + -1z = 17 + 0 9 + -1z = 17 Add '-9' to each side of the equation. 9 + -9 + -1z = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 17 + -9 -1z = 17 + -9 Combine like terms: 17 + -9 = 8 -1z = 8 Divide each side by '-1'. z = -8 Simplifying z = -8
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