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Simplifying 5z + -8z = 2z + -6 + -3z Combine like terms: 5z + -8z = -3z -3z = 2z + -6 + -3z Reorder the terms: -3z = -6 + 2z + -3z Combine like terms: 2z + -3z = -1z -3z = -6 + -1z Solving -3z = -6 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -3z + z = -6 + -1z + z Combine like terms: -3z + z = -2z -2z = -6 + -1z + z Combine like terms: -1z + z = 0 -2z = -6 + 0 -2z = -6 Divide each side by '-2'. z = 3 Simplifying z = 3
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