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