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Simplifying 2z + 6 = 11z + -7 Reorder the terms: 6 + 2z = 11z + -7 Reorder the terms: 6 + 2z = -7 + 11z Solving 6 + 2z = -7 + 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. 6 + 2z + -11z = -7 + 11z + -11z Combine like terms: 2z + -11z = -9z 6 + -9z = -7 + 11z + -11z Combine like terms: 11z + -11z = 0 6 + -9z = -7 + 0 6 + -9z = -7 Add '-6' to each side of the equation. 6 + -6 + -9z = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -9z = -7 + -6 -9z = -7 + -6 Combine like terms: -7 + -6 = -13 -9z = -13 Divide each side by '-9'. z = 1.444444444 Simplifying z = 1.444444444
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