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Simplifying 8 + 11z + -7 = 9z + 10 + -7z Reorder the terms: 8 + -7 + 11z = 9z + 10 + -7z Combine like terms: 8 + -7 = 1 1 + 11z = 9z + 10 + -7z Reorder the terms: 1 + 11z = 10 + 9z + -7z Combine like terms: 9z + -7z = 2z 1 + 11z = 10 + 2z Solving 1 + 11z = 10 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 1 + 11z + -2z = 10 + 2z + -2z Combine like terms: 11z + -2z = 9z 1 + 9z = 10 + 2z + -2z Combine like terms: 2z + -2z = 0 1 + 9z = 10 + 0 1 + 9z = 10 Add '-1' to each side of the equation. 1 + -1 + 9z = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 9z = 10 + -1 9z = 10 + -1 Combine like terms: 10 + -1 = 9 9z = 9 Divide each side by '9'. z = 1 Simplifying z = 1
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