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Simplifying 3z + -8z = 4z + -2 + -6z Combine like terms: 3z + -8z = -5z -5z = 4z + -2 + -6z Reorder the terms: -5z = -2 + 4z + -6z Combine like terms: 4z + -6z = -2z -5z = -2 + -2z Solving -5z = -2 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -5z + 2z = -2 + -2z + 2z Combine like terms: -5z + 2z = -3z -3z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 -3z = -2 + 0 -3z = -2 Divide each side by '-3'. z = 0.6666666667 Simplifying z = 0.6666666667
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