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Simplifying 8z + 14 = 7z + 7 Reorder the terms: 14 + 8z = 7z + 7 Reorder the terms: 14 + 8z = 7 + 7z Solving 14 + 8z = 7 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 14 + 8z + -7z = 7 + 7z + -7z Combine like terms: 8z + -7z = 1z 14 + 1z = 7 + 7z + -7z Combine like terms: 7z + -7z = 0 14 + 1z = 7 + 0 14 + 1z = 7 Add '-14' to each side of the equation. 14 + -14 + 1z = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 1z = 7 + -14 1z = 7 + -14 Combine like terms: 7 + -14 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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