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Simplifying 10z + 7 = 11z + -11 Reorder the terms: 7 + 10z = 11z + -11 Reorder the terms: 7 + 10z = -11 + 11z Solving 7 + 10z = -11 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 7 + 10z + -11z = -11 + 11z + -11z Combine like terms: 10z + -11z = -1z 7 + -1z = -11 + 11z + -11z Combine like terms: 11z + -11z = 0 7 + -1z = -11 + 0 7 + -1z = -11 Add '-7' to each side of the equation. 7 + -7 + -1z = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = -11 + -7 -1z = -11 + -7 Combine like terms: -11 + -7 = -18 -1z = -18 Divide each side by '-1'. z = 18 Simplifying z = 18
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