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Simplifying z + -5z = 6z + -2 + -1z Combine like terms: z + -5z = -4z -4z = 6z + -2 + -1z Reorder the terms: -4z = -2 + 6z + -1z Combine like terms: 6z + -1z = 5z -4z = -2 + 5z Solving -4z = -2 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -4z + -5z = -2 + 5z + -5z Combine like terms: -4z + -5z = -9z -9z = -2 + 5z + -5z Combine like terms: 5z + -5z = 0 -9z = -2 + 0 -9z = -2 Divide each side by '-9'. z = 0.2222222222 Simplifying z = 0.2222222222
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