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