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Simplifying 4z + -80 = 5z + -78 Reorder the terms: -80 + 4z = 5z + -78 Reorder the terms: -80 + 4z = -78 + 5z Solving -80 + 4z = -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 + 4z + -5z = -78 + 5z + -5z Combine like terms: 4z + -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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