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Simplifying -6z + -9z = -5z + 6 + 8z Combine like terms: -6z + -9z = -15z -15z = -5z + 6 + 8z Reorder the terms: -15z = 6 + -5z + 8z Combine like terms: -5z + 8z = 3z -15z = 6 + 3z Solving -15z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -15z + -3z = 6 + 3z + -3z Combine like terms: -15z + -3z = -18z -18z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -18z = 6 + 0 -18z = 6 Divide each side by '-18'. z = -0.3333333333 Simplifying z = -0.3333333333
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