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Simplifying -1(-6 + -3z + -8) = 0 Reorder the terms: -1(-6 + -8 + -3z) = 0 Combine like terms: -6 + -8 = -14 -1(-14 + -3z) = 0 (-14 * -1 + -3z * -1) = 0 (14 + 3z) = 0 Solving 14 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3z = 0 + -14 3z = 0 + -14 Combine like terms: 0 + -14 = -14 3z = -14 Divide each side by '3'. z = -4.666666667 Simplifying z = -4.666666667
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