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Simplifying 1 + 8z = 9 + -4z + 10z Combine like terms: -4z + 10z = 6z 1 + 8z = 9 + 6z Solving 1 + 8z = 9 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + 8z + -6z = 9 + 6z + -6z Combine like terms: 8z + -6z = 2z 1 + 2z = 9 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + 2z = 9 + 0 1 + 2z = 9 Add '-1' to each side of the equation. 1 + -1 + 2z = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 9 + -1 2z = 9 + -1 Combine like terms: 9 + -1 = 8 2z = 8 Divide each side by '2'. z = 4 Simplifying z = 4
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