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Simplifying 7z + 4 = 8z + -5 Reorder the terms: 4 + 7z = 8z + -5 Reorder the terms: 4 + 7z = -5 + 8z Solving 4 + 7z = -5 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 4 + 7z + -8z = -5 + 8z + -8z Combine like terms: 7z + -8z = -1z 4 + -1z = -5 + 8z + -8z Combine like terms: 8z + -8z = 0 4 + -1z = -5 + 0 4 + -1z = -5 Add '-4' to each side of the equation. 4 + -4 + -1z = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = -5 + -4 -1z = -5 + -4 Combine like terms: -5 + -4 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9
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