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Simplifying 3z + -8z = -4z + -9 + 7z Combine like terms: 3z + -8z = -5z -5z = -4z + -9 + 7z Reorder the terms: -5z = -9 + -4z + 7z Combine like terms: -4z + 7z = 3z -5z = -9 + 3z Solving -5z = -9 + 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. -5z + -3z = -9 + 3z + -3z Combine like terms: -5z + -3z = -8z -8z = -9 + 3z + -3z Combine like terms: 3z + -3z = 0 -8z = -9 + 0 -8z = -9 Divide each side by '-8'. z = 1.125 Simplifying z = 1.125
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