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Simplifying 5z + 1 = 8z + -4z Reorder the terms: 1 + 5z = 8z + -4z Combine like terms: 8z + -4z = 4z 1 + 5z = 4z Solving 1 + 5z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + 5z + -4z = 4z + -4z Combine like terms: 5z + -4z = 1z 1 + 1z = 4z + -4z Combine like terms: 4z + -4z = 0 1 + 1z = 0 Add '-1' to each side of the equation. 1 + -1 + 1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1z = 0 + -1 1z = 0 + -1 Combine like terms: 0 + -1 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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