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Simplifying -5z + z = -1z + 7 + 5z Combine like terms: -5z + z = -4z -4z = -1z + 7 + 5z Reorder the terms: -4z = 7 + -1z + 5z Combine like terms: -1z + 5z = 4z -4z = 7 + 4z Solving -4z = 7 + 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. -4z + -4z = 7 + 4z + -4z Combine like terms: -4z + -4z = -8z -8z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 -8z = 7 + 0 -8z = 7 Divide each side by '-8'. z = -0.875 Simplifying z = -0.875
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