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