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