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