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Simplifying 13(20 + z) = 23z (20 * 13 + z * 13) = 23z (260 + 13z) = 23z Solving 260 + 13z = 23z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23z' to each side of the equation. 260 + 13z + -23z = 23z + -23z Combine like terms: 13z + -23z = -10z 260 + -10z = 23z + -23z Combine like terms: 23z + -23z = 0 260 + -10z = 0 Add '-260' to each side of the equation. 260 + -260 + -10z = 0 + -260 Combine like terms: 260 + -260 = 0 0 + -10z = 0 + -260 -10z = 0 + -260 Combine like terms: 0 + -260 = -260 -10z = -260 Divide each side by '-10'. z = 26 Simplifying z = 26
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