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Simplifying -11 + 10z + 100 = 4 + -10z + 110 Reorder the terms: -11 + 100 + 10z = 4 + -10z + 110 Combine like terms: -11 + 100 = 89 89 + 10z = 4 + -10z + 110 Reorder the terms: 89 + 10z = 4 + 110 + -10z Combine like terms: 4 + 110 = 114 89 + 10z = 114 + -10z Solving 89 + 10z = 114 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 89 + 10z + 10z = 114 + -10z + 10z Combine like terms: 10z + 10z = 20z 89 + 20z = 114 + -10z + 10z Combine like terms: -10z + 10z = 0 89 + 20z = 114 + 0 89 + 20z = 114 Add '-89' to each side of the equation. 89 + -89 + 20z = 114 + -89 Combine like terms: 89 + -89 = 0 0 + 20z = 114 + -89 20z = 114 + -89 Combine like terms: 114 + -89 = 25 20z = 25 Divide each side by '20'. z = 1.25 Simplifying z = 1.25
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