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Simplifying 4 + -8z = 8 + -12z Solving 4 + -8z = 8 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 4 + -8z + 12z = 8 + -12z + 12z Combine like terms: -8z + 12z = 4z 4 + 4z = 8 + -12z + 12z Combine like terms: -12z + 12z = 0 4 + 4z = 8 + 0 4 + 4z = 8 Add '-4' to each side of the equation. 4 + -4 + 4z = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 4z = 8 + -4 4z = 8 + -4 Combine like terms: 8 + -4 = 4 4z = 4 Divide each side by '4'. z = 1 Simplifying z = 1
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