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Simplifying 4z + 8 + -2z = 2 + z + 8 Reorder the terms: 8 + 4z + -2z = 2 + z + 8 Combine like terms: 4z + -2z = 2z 8 + 2z = 2 + z + 8 Reorder the terms: 8 + 2z = 2 + 8 + z Combine like terms: 2 + 8 = 10 8 + 2z = 10 + z Solving 8 + 2z = 10 + 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. 8 + 2z + -1z = 10 + z + -1z Combine like terms: 2z + -1z = 1z 8 + 1z = 10 + z + -1z Combine like terms: z + -1z = 0 8 + 1z = 10 + 0 8 + 1z = 10 Add '-8' to each side of the equation. 8 + -8 + 1z = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 10 + -8 1z = 10 + -8 Combine like terms: 10 + -8 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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