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Simplifying 5z + -3(6 + -1z) = 54 5z + (6 * -3 + -1z * -3) = 54 5z + (-18 + 3z) = 54 Reorder the terms: -18 + 5z + 3z = 54 Combine like terms: 5z + 3z = 8z -18 + 8z = 54 Solving -18 + 8z = 54 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8z = 54 + 18 Combine like terms: -18 + 18 = 0 0 + 8z = 54 + 18 8z = 54 + 18 Combine like terms: 54 + 18 = 72 8z = 72 Divide each side by '8'. z = 9 Simplifying z = 9
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