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Simplifying 5 + 11z + -3 = 9z + 37 + -3z Reorder the terms: 5 + -3 + 11z = 9z + 37 + -3z Combine like terms: 5 + -3 = 2 2 + 11z = 9z + 37 + -3z Reorder the terms: 2 + 11z = 37 + 9z + -3z Combine like terms: 9z + -3z = 6z 2 + 11z = 37 + 6z Solving 2 + 11z = 37 + 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. 2 + 11z + -6z = 37 + 6z + -6z Combine like terms: 11z + -6z = 5z 2 + 5z = 37 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + 5z = 37 + 0 2 + 5z = 37 Add '-2' to each side of the equation. 2 + -2 + 5z = 37 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 37 + -2 5z = 37 + -2 Combine like terms: 37 + -2 = 35 5z = 35 Divide each side by '5'. z = 7 Simplifying z = 7
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