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Simplifying 5z + 7z + 6z + -8 = 0 Reorder the terms: -8 + 5z + 7z + 6z = 0 Combine like terms: 5z + 7z = 12z -8 + 12z + 6z = 0 Combine like terms: 12z + 6z = 18z -8 + 18z = 0 Solving -8 + 18z = 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 + 18z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 18z = 0 + 8 18z = 0 + 8 Combine like terms: 0 + 8 = 8 18z = 8 Divide each side by '18'. z = 0.4444444444 Simplifying z = 0.4444444444
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