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Simplifying 23 + -2z = 13z + -22 Reorder the terms: 23 + -2z = -22 + 13z Solving 23 + -2z = -22 + 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. 23 + -2z + -13z = -22 + 13z + -13z Combine like terms: -2z + -13z = -15z 23 + -15z = -22 + 13z + -13z Combine like terms: 13z + -13z = 0 23 + -15z = -22 + 0 23 + -15z = -22 Add '-23' to each side of the equation. 23 + -23 + -15z = -22 + -23 Combine like terms: 23 + -23 = 0 0 + -15z = -22 + -23 -15z = -22 + -23 Combine like terms: -22 + -23 = -45 -15z = -45 Divide each side by '-15'. z = 3 Simplifying z = 3
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