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Simplifying 23z = 13 + 25 + -1(13z + -26) Reorder the terms: 23z = 13 + 25 + -1(-26 + 13z) 23z = 13 + 25 + (-26 * -1 + 13z * -1) 23z = 13 + 25 + (26 + -13z) Combine like terms: 13 + 25 = 38 23z = 38 + 26 + -13z Combine like terms: 38 + 26 = 64 23z = 64 + -13z Solving 23z = 64 + -13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13z' to each side of the equation. 23z + 13z = 64 + -13z + 13z Combine like terms: 23z + 13z = 36z 36z = 64 + -13z + 13z Combine like terms: -13z + 13z = 0 36z = 64 + 0 36z = 64 Divide each side by '36'. z = 1.777777778 Simplifying z = 1.777777778
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