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Simplifying 11z + 7 = 31 + -1z Reorder the terms: 7 + 11z = 31 + -1z Solving 7 + 11z = 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. 7 + 11z + z = 31 + -1z + z Combine like terms: 11z + z = 12z 7 + 12z = 31 + -1z + z Combine like terms: -1z + z = 0 7 + 12z = 31 + 0 7 + 12z = 31 Add '-7' to each side of the equation. 7 + -7 + 12z = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 12z = 31 + -7 12z = 31 + -7 Combine like terms: 31 + -7 = 24 12z = 24 Divide each side by '12'. z = 2 Simplifying z = 2
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