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Simplifying 5z + -7z = 4z + 8 + -8z Combine like terms: 5z + -7z = -2z -2z = 4z + 8 + -8z Reorder the terms: -2z = 8 + 4z + -8z Combine like terms: 4z + -8z = -4z -2z = 8 + -4z Solving -2z = 8 + -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. -2z + 4z = 8 + -4z + 4z Combine like terms: -2z + 4z = 2z 2z = 8 + -4z + 4z Combine like terms: -4z + 4z = 0 2z = 8 + 0 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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