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Simplifying -6z + 7z = -7z + -5 + -8z Combine like terms: -6z + 7z = 1z 1z = -7z + -5 + -8z Reorder the terms: 1z = -5 + -7z + -8z Combine like terms: -7z + -8z = -15z 1z = -5 + -15z Solving 1z = -5 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 1z + 15z = -5 + -15z + 15z Combine like terms: 1z + 15z = 16z 16z = -5 + -15z + 15z Combine like terms: -15z + 15z = 0 16z = -5 + 0 16z = -5 Divide each side by '16'. z = -0.3125 Simplifying z = -0.3125
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