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Simplifying 7z + 4 + -5z = 3 + z + 8 Reorder the terms: 4 + 7z + -5z = 3 + z + 8 Combine like terms: 7z + -5z = 2z 4 + 2z = 3 + z + 8 Reorder the terms: 4 + 2z = 3 + 8 + z Combine like terms: 3 + 8 = 11 4 + 2z = 11 + z Solving 4 + 2z = 11 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 4 + 2z + -1z = 11 + z + -1z Combine like terms: 2z + -1z = 1z 4 + 1z = 11 + z + -1z Combine like terms: z + -1z = 0 4 + 1z = 11 + 0 4 + 1z = 11 Add '-4' to each side of the equation. 4 + -4 + 1z = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 11 + -4 1z = 11 + -4 Combine like terms: 11 + -4 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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