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Simplifying -7z + -5z = 5z + 1 + -1z Combine like terms: -7z + -5z = -12z -12z = 5z + 1 + -1z Reorder the terms: -12z = 1 + 5z + -1z Combine like terms: 5z + -1z = 4z -12z = 1 + 4z Solving -12z = 1 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -12z + -4z = 1 + 4z + -4z Combine like terms: -12z + -4z = -16z -16z = 1 + 4z + -4z Combine like terms: 4z + -4z = 0 -16z = 1 + 0 -16z = 1 Divide each side by '-16'. z = -0.0625 Simplifying z = -0.0625
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