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Simplifying 5 + 11z + -1 = 6z + 58 + -4z Reorder the terms: 5 + -1 + 11z = 6z + 58 + -4z Combine like terms: 5 + -1 = 4 4 + 11z = 6z + 58 + -4z Reorder the terms: 4 + 11z = 58 + 6z + -4z Combine like terms: 6z + -4z = 2z 4 + 11z = 58 + 2z Solving 4 + 11z = 58 + 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. 4 + 11z + -2z = 58 + 2z + -2z Combine like terms: 11z + -2z = 9z 4 + 9z = 58 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 9z = 58 + 0 4 + 9z = 58 Add '-4' to each side of the equation. 4 + -4 + 9z = 58 + -4 Combine like terms: 4 + -4 = 0 0 + 9z = 58 + -4 9z = 58 + -4 Combine like terms: 58 + -4 = 54 9z = 54 Divide each side by '9'. z = 6 Simplifying z = 6
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