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Simplifying -10z + -1z + -8 = -9z + 8 Reorder the terms: -8 + -10z + -1z = -9z + 8 Combine like terms: -10z + -1z = -11z -8 + -11z = -9z + 8 Reorder the terms: -8 + -11z = 8 + -9z Solving -8 + -11z = 8 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. -8 + -11z + 9z = 8 + -9z + 9z Combine like terms: -11z + 9z = -2z -8 + -2z = 8 + -9z + 9z Combine like terms: -9z + 9z = 0 -8 + -2z = 8 + 0 -8 + -2z = 8 Add '8' to each side of the equation. -8 + 8 + -2z = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -2z = 8 + 8 -2z = 8 + 8 Combine like terms: 8 + 8 = 16 -2z = 16 Divide each side by '-2'. z = -8 Simplifying z = -8
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