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Simplifying -3(2z + -8) + 102 = 16 Reorder the terms: -3(-8 + 2z) + 102 = 16 (-8 * -3 + 2z * -3) + 102 = 16 (24 + -6z) + 102 = 16 Reorder the terms: 24 + 102 + -6z = 16 Combine like terms: 24 + 102 = 126 126 + -6z = 16 Solving 126 + -6z = 16 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + -6z = 16 + -126 Combine like terms: 126 + -126 = 0 0 + -6z = 16 + -126 -6z = 16 + -126 Combine like terms: 16 + -126 = -110 -6z = -110 Divide each side by '-6'. z = 18.33333333 Simplifying z = 18.33333333
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