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Simplifying 8z + -6 = 54 + 3z Reorder the terms: -6 + 8z = 54 + 3z Solving -6 + 8z = 54 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -6 + 8z + -3z = 54 + 3z + -3z Combine like terms: 8z + -3z = 5z -6 + 5z = 54 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + 5z = 54 + 0 -6 + 5z = 54 Add '6' to each side of the equation. -6 + 6 + 5z = 54 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = 54 + 6 5z = 54 + 6 Combine like terms: 54 + 6 = 60 5z = 60 Divide each side by '5'. z = 12 Simplifying z = 12
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