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Simplifying 31 = 3z + 1 Reorder the terms: 31 = 1 + 3z Solving 31 = 1 + 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. 31 + -3z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 31 + -3z = 1 + 0 31 + -3z = 1 Add '-31' to each side of the equation. 31 + -31 + -3z = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -3z = 1 + -31 -3z = 1 + -31 Combine like terms: 1 + -31 = -30 -3z = -30 Divide each side by '-3'. z = 10 Simplifying z = 10
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