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Simplifying 12 + 5z + -4 + -1z = 0 Reorder the terms: 12 + -4 + 5z + -1z = 0 Combine like terms: 12 + -4 = 8 8 + 5z + -1z = 0 Combine like terms: 5z + -1z = 4z 8 + 4z = 0 Solving 8 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4z = 0 + -8 4z = 0 + -8 Combine like terms: 0 + -8 = -8 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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