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Simplifying 6z + 11 = 2z + 47 Reorder the terms: 11 + 6z = 2z + 47 Reorder the terms: 11 + 6z = 47 + 2z Solving 11 + 6z = 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. 11 + 6z + -2z = 47 + 2z + -2z Combine like terms: 6z + -2z = 4z 11 + 4z = 47 + 2z + -2z Combine like terms: 2z + -2z = 0 11 + 4z = 47 + 0 11 + 4z = 47 Add '-11' to each side of the equation. 11 + -11 + 4z = 47 + -11 Combine like terms: 11 + -11 = 0 0 + 4z = 47 + -11 4z = 47 + -11 Combine like terms: 47 + -11 = 36 4z = 36 Divide each side by '4'. z = 9 Simplifying z = 9
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