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Simplifying 4z + -27z + 15z = 8z + 54 Combine like terms: 4z + -27z = -23z -23z + 15z = 8z + 54 Combine like terms: -23z + 15z = -8z -8z = 8z + 54 Reorder the terms: -8z = 54 + 8z Solving -8z = 54 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -8z + -8z = 54 + 8z + -8z Combine like terms: -8z + -8z = -16z -16z = 54 + 8z + -8z Combine like terms: 8z + -8z = 0 -16z = 54 + 0 -16z = 54 Divide each side by '-16'. z = -3.375 Simplifying z = -3.375
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