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Simplifying -8z + 9 = 7z + -6 + -10z Reorder the terms: 9 + -8z = 7z + -6 + -10z Reorder the terms: 9 + -8z = -6 + 7z + -10z Combine like terms: 7z + -10z = -3z 9 + -8z = -6 + -3z Solving 9 + -8z = -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. 9 + -8z + 3z = -6 + -3z + 3z Combine like terms: -8z + 3z = -5z 9 + -5z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 9 + -5z = -6 + 0 9 + -5z = -6 Add '-9' to each side of the equation. 9 + -9 + -5z = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -5z = -6 + -9 -5z = -6 + -9 Combine like terms: -6 + -9 = -15 -5z = -15 Divide each side by '-5'. z = 3 Simplifying z = 3
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