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Simplifying 5z + 16 = 34 + -1z Reorder the terms: 16 + 5z = 34 + -1z Solving 16 + 5z = 34 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 16 + 5z + z = 34 + -1z + z Combine like terms: 5z + z = 6z 16 + 6z = 34 + -1z + z Combine like terms: -1z + z = 0 16 + 6z = 34 + 0 16 + 6z = 34 Add '-16' to each side of the equation. 16 + -16 + 6z = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 6z = 34 + -16 6z = 34 + -16 Combine like terms: 34 + -16 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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