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Simplifying 6z + -8z = z + 5 + 3z Combine like terms: 6z + -8z = -2z -2z = z + 5 + 3z Reorder the terms: -2z = 5 + z + 3z Combine like terms: z + 3z = 4z -2z = 5 + 4z Solving -2z = 5 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -2z + -4z = 5 + 4z + -4z Combine like terms: -2z + -4z = -6z -6z = 5 + 4z + -4z Combine like terms: 4z + -4z = 0 -6z = 5 + 0 -6z = 5 Divide each side by '-6'. z = -0.8333333333 Simplifying z = -0.8333333333
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