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Simplifying 8 + 6z = 10z + -12 Reorder the terms: 8 + 6z = -12 + 10z Solving 8 + 6z = -12 + 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. 8 + 6z + -10z = -12 + 10z + -10z Combine like terms: 6z + -10z = -4z 8 + -4z = -12 + 10z + -10z Combine like terms: 10z + -10z = 0 8 + -4z = -12 + 0 8 + -4z = -12 Add '-8' to each side of the equation. 8 + -8 + -4z = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4z = -12 + -8 -4z = -12 + -8 Combine like terms: -12 + -8 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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