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Simplifying 3z + -26 + 8z + -43 = 8z + -11 Reorder the terms: -26 + -43 + 3z + 8z = 8z + -11 Combine like terms: -26 + -43 = -69 -69 + 3z + 8z = 8z + -11 Combine like terms: 3z + 8z = 11z -69 + 11z = 8z + -11 Reorder the terms: -69 + 11z = -11 + 8z Solving -69 + 11z = -11 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -69 + 11z + -8z = -11 + 8z + -8z Combine like terms: 11z + -8z = 3z -69 + 3z = -11 + 8z + -8z Combine like terms: 8z + -8z = 0 -69 + 3z = -11 + 0 -69 + 3z = -11 Add '69' to each side of the equation. -69 + 69 + 3z = -11 + 69 Combine like terms: -69 + 69 = 0 0 + 3z = -11 + 69 3z = -11 + 69 Combine like terms: -11 + 69 = 58 3z = 58 Divide each side by '3'. z = 19.33333333 Simplifying z = 19.33333333
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