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Simplifying 2z + -4 + -8z + 9 = 10z + 6 + z + -12 Reorder the terms: -4 + 9 + 2z + -8z = 10z + 6 + z + -12 Combine like terms: -4 + 9 = 5 5 + 2z + -8z = 10z + 6 + z + -12 Combine like terms: 2z + -8z = -6z 5 + -6z = 10z + 6 + z + -12 Reorder the terms: 5 + -6z = 6 + -12 + 10z + z Combine like terms: 6 + -12 = -6 5 + -6z = -6 + 10z + z Combine like terms: 10z + z = 11z 5 + -6z = -6 + 11z Solving 5 + -6z = -6 + 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. 5 + -6z + -11z = -6 + 11z + -11z Combine like terms: -6z + -11z = -17z 5 + -17z = -6 + 11z + -11z Combine like terms: 11z + -11z = 0 5 + -17z = -6 + 0 5 + -17z = -6 Add '-5' to each side of the equation. 5 + -5 + -17z = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -17z = -6 + -5 -17z = -6 + -5 Combine like terms: -6 + -5 = -11 -17z = -11 Divide each side by '-17'. z = 0.6470588235 Simplifying z = 0.6470588235
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