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Simplifying 20 + 13z = -20 + -14 + 10z Combine like terms: -20 + -14 = -34 20 + 13z = -34 + 10z Solving 20 + 13z = -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. 20 + 13z + -10z = -34 + 10z + -10z Combine like terms: 13z + -10z = 3z 20 + 3z = -34 + 10z + -10z Combine like terms: 10z + -10z = 0 20 + 3z = -34 + 0 20 + 3z = -34 Add '-20' to each side of the equation. 20 + -20 + 3z = -34 + -20 Combine like terms: 20 + -20 = 0 0 + 3z = -34 + -20 3z = -34 + -20 Combine like terms: -34 + -20 = -54 3z = -54 Divide each side by '3'. z = -18 Simplifying z = -18
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