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Simplifying z + -5z = 4z + -2 + -1z Combine like terms: z + -5z = -4z -4z = 4z + -2 + -1z Reorder the terms: -4z = -2 + 4z + -1z Combine like terms: 4z + -1z = 3z -4z = -2 + 3z Solving -4z = -2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -4z + -3z = -2 + 3z + -3z Combine like terms: -4z + -3z = -7z -7z = -2 + 3z + -3z Combine like terms: 3z + -3z = 0 -7z = -2 + 0 -7z = -2 Divide each side by '-7'. z = 0.2857142857 Simplifying z = 0.2857142857
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