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Simplifying z + -6z = 5z + -7 + -1z Combine like terms: z + -6z = -5z -5z = 5z + -7 + -1z Reorder the terms: -5z = -7 + 5z + -1z Combine like terms: 5z + -1z = 4z -5z = -7 + 4z Solving -5z = -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. -5z + -4z = -7 + 4z + -4z Combine like terms: -5z + -4z = -9z -9z = -7 + 4z + -4z Combine like terms: 4z + -4z = 0 -9z = -7 + 0 -9z = -7 Divide each side by '-9'. z = 0.7777777778 Simplifying z = 0.7777777778
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