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