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Simplifying 3(8 + -1z) + 6 = 54 (8 * 3 + -1z * 3) + 6 = 54 (24 + -3z) + 6 = 54 Reorder the terms: 24 + 6 + -3z = 54 Combine like terms: 24 + 6 = 30 30 + -3z = 54 Solving 30 + -3z = 54 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -3z = 54 + -30 Combine like terms: 30 + -30 = 0 0 + -3z = 54 + -30 -3z = 54 + -30 Combine like terms: 54 + -30 = 24 -3z = 24 Divide each side by '-3'. z = -8 Simplifying z = -8
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