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Simplifying -2z + 14 = -20 + -14 + -10z Reorder the terms: 14 + -2z = -20 + -14 + -10z Combine like terms: -20 + -14 = -34 14 + -2z = -34 + -10z Solving 14 + -2z = -34 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 14 + -2z + 10z = -34 + -10z + 10z Combine like terms: -2z + 10z = 8z 14 + 8z = -34 + -10z + 10z Combine like terms: -10z + 10z = 0 14 + 8z = -34 + 0 14 + 8z = -34 Add '-14' to each side of the equation. 14 + -14 + 8z = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 8z = -34 + -14 8z = -34 + -14 Combine like terms: -34 + -14 = -48 8z = -48 Divide each side by '8'. z = -6 Simplifying z = -6
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