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Simplifying 7 = 11z + -5z Combine like terms: 11z + -5z = 6z 7 = 6z Solving 7 = 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 + -6z = 6z + -6z Combine like terms: 6z + -6z = 0 7 + -6z = 0 Add '-7' to each side of the equation. 7 + -7 + -6z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6z = 0 + -7 -6z = 0 + -7 Combine like terms: 0 + -7 = -7 -6z = -7 Divide each side by '-6'. z = 1.166666667 Simplifying z = 1.166666667
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