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Simplifying 7z + 43 = 8z + -8 Reorder the terms: 43 + 7z = 8z + -8 Reorder the terms: 43 + 7z = -8 + 8z Solving 43 + 7z = -8 + 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. 43 + 7z + -8z = -8 + 8z + -8z Combine like terms: 7z + -8z = -1z 43 + -1z = -8 + 8z + -8z Combine like terms: 8z + -8z = 0 43 + -1z = -8 + 0 43 + -1z = -8 Add '-43' to each side of the equation. 43 + -43 + -1z = -8 + -43 Combine like terms: 43 + -43 = 0 0 + -1z = -8 + -43 -1z = -8 + -43 Combine like terms: -8 + -43 = -51 -1z = -51 Divide each side by '-1'. z = 51 Simplifying z = 51
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