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Simplifying 4z + 8 + -2z = 6 + z + -1 Reorder the terms: 8 + 4z + -2z = 6 + z + -1 Combine like terms: 4z + -2z = 2z 8 + 2z = 6 + z + -1 Reorder the terms: 8 + 2z = 6 + -1 + z Combine like terms: 6 + -1 = 5 8 + 2z = 5 + z Solving 8 + 2z = 5 + 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 = 5 + z + -1z Combine like terms: 2z + -1z = 1z 8 + 1z = 5 + z + -1z Combine like terms: z + -1z = 0 8 + 1z = 5 + 0 8 + 1z = 5 Add '-8' to each side of the equation. 8 + -8 + 1z = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 5 + -8 1z = 5 + -8 Combine like terms: 5 + -8 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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