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Simplifying 5z + -1z = 5z + -8 + 7z Combine like terms: 5z + -1z = 4z 4z = 5z + -8 + 7z Reorder the terms: 4z = -8 + 5z + 7z Combine like terms: 5z + 7z = 12z 4z = -8 + 12z Solving 4z = -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. 4z + -12z = -8 + 12z + -12z Combine like terms: 4z + -12z = -8z -8z = -8 + 12z + -12z Combine like terms: 12z + -12z = 0 -8z = -8 + 0 -8z = -8 Divide each side by '-8'. z = 1 Simplifying z = 1
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