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Simplifying 4 + 11z + -2 = 6z + 47 + -4z Reorder the terms: 4 + -2 + 11z = 6z + 47 + -4z Combine like terms: 4 + -2 = 2 2 + 11z = 6z + 47 + -4z Reorder the terms: 2 + 11z = 47 + 6z + -4z Combine like terms: 6z + -4z = 2z 2 + 11z = 47 + 2z Solving 2 + 11z = 47 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 2 + 11z + -2z = 47 + 2z + -2z Combine like terms: 11z + -2z = 9z 2 + 9z = 47 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 9z = 47 + 0 2 + 9z = 47 Add '-2' to each side of the equation. 2 + -2 + 9z = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 47 + -2 9z = 47 + -2 Combine like terms: 47 + -2 = 45 9z = 45 Divide each side by '9'. z = 5 Simplifying z = 5
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