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Simplifying z + -5z = 7z + -1 + -1z Combine like terms: z + -5z = -4z -4z = 7z + -1 + -1z Reorder the terms: -4z = -1 + 7z + -1z Combine like terms: 7z + -1z = 6z -4z = -1 + 6z Solving -4z = -1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -4z + -6z = -1 + 6z + -6z Combine like terms: -4z + -6z = -10z -10z = -1 + 6z + -6z Combine like terms: 6z + -6z = 0 -10z = -1 + 0 -10z = -1 Divide each side by '-10'. z = 0.1 Simplifying z = 0.1
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