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Simplifying 6z + 13 + -3z + -5 = 0 Reorder the terms: 13 + -5 + 6z + -3z = 0 Combine like terms: 13 + -5 = 8 8 + 6z + -3z = 0 Combine like terms: 6z + -3z = 3z 8 + 3z = 0 Solving 8 + 3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3z = 0 + -8 3z = 0 + -8 Combine like terms: 0 + -8 = -8 3z = -8 Divide each side by '3'. z = -2.666666667 Simplifying z = -2.666666667
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