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Simplifying 4 + 11z + -3 = 8z + 31 + -2z Reorder the terms: 4 + -3 + 11z = 8z + 31 + -2z Combine like terms: 4 + -3 = 1 1 + 11z = 8z + 31 + -2z Reorder the terms: 1 + 11z = 31 + 8z + -2z Combine like terms: 8z + -2z = 6z 1 + 11z = 31 + 6z Solving 1 + 11z = 31 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + 11z + -6z = 31 + 6z + -6z Combine like terms: 11z + -6z = 5z 1 + 5z = 31 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + 5z = 31 + 0 1 + 5z = 31 Add '-1' to each side of the equation. 1 + -1 + 5z = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 5z = 31 + -1 5z = 31 + -1 Combine like terms: 31 + -1 = 30 5z = 30 Divide each side by '5'. z = 6 Simplifying z = 6
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