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Simplifying -6(1 + -5z) = 54 (1 * -6 + -5z * -6) = 54 (-6 + 30z) = 54 Solving -6 + 30z = 54 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 30z = 54 + 6 Combine like terms: -6 + 6 = 0 0 + 30z = 54 + 6 30z = 54 + 6 Combine like terms: 54 + 6 = 60 30z = 60 Divide each side by '30'. z = 2 Simplifying z = 2
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