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Simplifying 7z + -4 = -8 + 5z Reorder the terms: -4 + 7z = -8 + 5z Solving -4 + 7z = -8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -4 + 7z + -5z = -8 + 5z + -5z Combine like terms: 7z + -5z = 2z -4 + 2z = -8 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + 2z = -8 + 0 -4 + 2z = -8 Add '4' to each side of the equation. -4 + 4 + 2z = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 2z = -8 + 4 2z = -8 + 4 Combine like terms: -8 + 4 = -4 2z = -4 Divide each side by '2'. z = -2 Simplifying z = -2
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