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Simplifying 118 + -2z = 10z + 20 Reorder the terms: 118 + -2z = 20 + 10z Solving 118 + -2z = 20 + 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. 118 + -2z + -10z = 20 + 10z + -10z Combine like terms: -2z + -10z = -12z 118 + -12z = 20 + 10z + -10z Combine like terms: 10z + -10z = 0 118 + -12z = 20 + 0 118 + -12z = 20 Add '-118' to each side of the equation. 118 + -118 + -12z = 20 + -118 Combine like terms: 118 + -118 = 0 0 + -12z = 20 + -118 -12z = 20 + -118 Combine like terms: 20 + -118 = -98 -12z = -98 Divide each side by '-12'. z = 8.166666667 Simplifying z = 8.166666667
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