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Simplifying 4z + -80 + 2z = 5z + -78 Reorder the terms: -80 + 4z + 2z = 5z + -78 Combine like terms: 4z + 2z = 6z -80 + 6z = 5z + -78 Reorder the terms: -80 + 6z = -78 + 5z Solving -80 + 6z = -78 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -80 + 6z + -5z = -78 + 5z + -5z Combine like terms: 6z + -5z = 1z -80 + 1z = -78 + 5z + -5z Combine like terms: 5z + -5z = 0 -80 + 1z = -78 + 0 -80 + 1z = -78 Add '80' to each side of the equation. -80 + 80 + 1z = -78 + 80 Combine like terms: -80 + 80 = 0 0 + 1z = -78 + 80 1z = -78 + 80 Combine like terms: -78 + 80 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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