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Simplifying z + 4 + z = z + 8 + 5 Reorder the terms: 4 + z + z = z + 8 + 5 Combine like terms: z + z = 2z 4 + 2z = z + 8 + 5 Reorder the terms: 4 + 2z = 8 + 5 + z Combine like terms: 8 + 5 = 13 4 + 2z = 13 + z Solving 4 + 2z = 13 + 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 = 13 + z + -1z Combine like terms: 2z + -1z = 1z 4 + 1z = 13 + z + -1z Combine like terms: z + -1z = 0 4 + 1z = 13 + 0 4 + 1z = 13 Add '-4' to each side of the equation. 4 + -4 + 1z = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 13 + -4 1z = 13 + -4 Combine like terms: 13 + -4 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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