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Simplifying 5z + 1 = 31 + -1z Reorder the terms: 1 + 5z = 31 + -1z Solving 1 + 5z = 31 + -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. 1 + 5z + z = 31 + -1z + z Combine like terms: 5z + z = 6z 1 + 6z = 31 + -1z + z Combine like terms: -1z + z = 0 1 + 6z = 31 + 0 1 + 6z = 31 Add '-1' to each side of the equation. 1 + -1 + 6z = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = 31 + -1 6z = 31 + -1 Combine like terms: 31 + -1 = 30 6z = 30 Divide each side by '6'. z = 5 Simplifying z = 5
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