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Simplifying 5z + 7 = 11 + -6z Reorder the terms: 7 + 5z = 11 + -6z Solving 7 + 5z = 11 + -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. 7 + 5z + 6z = 11 + -6z + 6z Combine like terms: 5z + 6z = 11z 7 + 11z = 11 + -6z + 6z Combine like terms: -6z + 6z = 0 7 + 11z = 11 + 0 7 + 11z = 11 Add '-7' to each side of the equation. 7 + -7 + 11z = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 11z = 11 + -7 11z = 11 + -7 Combine like terms: 11 + -7 = 4 11z = 4 Divide each side by '11'. z = 0.3636363636 Simplifying z = 0.3636363636
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