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Simplifying z + -8z = 4z + -7 + -1z Combine like terms: z + -8z = -7z -7z = 4z + -7 + -1z Reorder the terms: -7z = -7 + 4z + -1z Combine like terms: 4z + -1z = 3z -7z = -7 + 3z Solving -7z = -7 + 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. -7z + -3z = -7 + 3z + -3z Combine like terms: -7z + -3z = -10z -10z = -7 + 3z + -3z Combine like terms: 3z + -3z = 0 -10z = -7 + 0 -10z = -7 Divide each side by '-10'. z = 0.7 Simplifying z = 0.7
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