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Simplifying 13z + 13 = 23z + -67 Reorder the terms: 13 + 13z = 23z + -67 Reorder the terms: 13 + 13z = -67 + 23z Solving 13 + 13z = -67 + 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. 13 + 13z + -23z = -67 + 23z + -23z Combine like terms: 13z + -23z = -10z 13 + -10z = -67 + 23z + -23z Combine like terms: 23z + -23z = 0 13 + -10z = -67 + 0 13 + -10z = -67 Add '-13' to each side of the equation. 13 + -13 + -10z = -67 + -13 Combine like terms: 13 + -13 = 0 0 + -10z = -67 + -13 -10z = -67 + -13 Combine like terms: -67 + -13 = -80 -10z = -80 Divide each side by '-10'. z = 8 Simplifying z = 8
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