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Simplifying 10z + 12 = 8z Reorder the terms: 12 + 10z = 8z Solving 12 + 10z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 12 + 10z + -8z = 8z + -8z Combine like terms: 10z + -8z = 2z 12 + 2z = 8z + -8z Combine like terms: 8z + -8z = 0 12 + 2z = 0 Add '-12' to each side of the equation. 12 + -12 + 2z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 0 + -12 2z = 0 + -12 Combine like terms: 0 + -12 = -12 2z = -12 Divide each side by '2'. z = -6 Simplifying z = -6
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