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Simplifying -6z + -24 + 102 = 16 Reorder the terms: -24 + 102 + -6z = 16 Combine like terms: -24 + 102 = 78 78 + -6z = 16 Solving 78 + -6z = 16 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -6z = 16 + -78 Combine like terms: 78 + -78 = 0 0 + -6z = 16 + -78 -6z = 16 + -78 Combine like terms: 16 + -78 = -62 -6z = -62 Divide each side by '-6'. z = 10.33333333 Simplifying z = 10.33333333
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