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Simplifying -1z + -8z = -1z + -6 + 7z Combine like terms: -1z + -8z = -9z -9z = -1z + -6 + 7z Reorder the terms: -9z = -6 + -1z + 7z Combine like terms: -1z + 7z = 6z -9z = -6 + 6z Solving -9z = -6 + 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. -9z + -6z = -6 + 6z + -6z Combine like terms: -9z + -6z = -15z -15z = -6 + 6z + -6z Combine like terms: 6z + -6z = 0 -15z = -6 + 0 -15z = -6 Divide each side by '-15'. z = 0.4 Simplifying z = 0.4
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