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Simplifying 31 + -47z = 47y + 31 Reorder the terms: 31 + -47z = 31 + 47y Add '-31' to each side of the equation. 31 + -31 + -47z = 31 + -31 + 47y Combine like terms: 31 + -31 = 0 0 + -47z = 31 + -31 + 47y -47z = 31 + -31 + 47y Combine like terms: 31 + -31 = 0 -47z = 0 + 47y -47z = 47y Solving -47z = 47y Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '-47'. z = -1y Simplifying z = -1y
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