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Simplifying 7z + -8 + -1z + -12 = 0 Reorder the terms: -8 + -12 + 7z + -1z = 0 Combine like terms: -8 + -12 = -20 -20 + 7z + -1z = 0 Combine like terms: 7z + -1z = 6z -20 + 6z = 0 Solving -20 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 6z = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 6z = 0 + 20 6z = 0 + 20 Combine like terms: 0 + 20 = 20 6z = 20 Divide each side by '6'. z = 3.333333333 Simplifying z = 3.333333333
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