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Simplifying -9z + -8 = -2z + 10 + -10z Reorder the terms: -8 + -9z = -2z + 10 + -10z Reorder the terms: -8 + -9z = 10 + -2z + -10z Combine like terms: -2z + -10z = -12z -8 + -9z = 10 + -12z Solving -8 + -9z = 10 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -8 + -9z + 12z = 10 + -12z + 12z Combine like terms: -9z + 12z = 3z -8 + 3z = 10 + -12z + 12z Combine like terms: -12z + 12z = 0 -8 + 3z = 10 + 0 -8 + 3z = 10 Add '8' to each side of the equation. -8 + 8 + 3z = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3z = 10 + 8 3z = 10 + 8 Combine like terms: 10 + 8 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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