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Simplifying 5 + 13z + -4 = -6z + 23 + -4z Reorder the terms: 5 + -4 + 13z = -6z + 23 + -4z Combine like terms: 5 + -4 = 1 1 + 13z = -6z + 23 + -4z Reorder the terms: 1 + 13z = 23 + -6z + -4z Combine like terms: -6z + -4z = -10z 1 + 13z = 23 + -10z Solving 1 + 13z = 23 + -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. 1 + 13z + 10z = 23 + -10z + 10z Combine like terms: 13z + 10z = 23z 1 + 23z = 23 + -10z + 10z Combine like terms: -10z + 10z = 0 1 + 23z = 23 + 0 1 + 23z = 23 Add '-1' to each side of the equation. 1 + -1 + 23z = 23 + -1 Combine like terms: 1 + -1 = 0 0 + 23z = 23 + -1 23z = 23 + -1 Combine like terms: 23 + -1 = 22 23z = 22 Divide each side by '23'. z = 0.9565217391 Simplifying z = 0.9565217391
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