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Simplifying 3z + 13 = 9z + -23 Reorder the terms: 13 + 3z = 9z + -23 Reorder the terms: 13 + 3z = -23 + 9z Solving 13 + 3z = -23 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 13 + 3z + -9z = -23 + 9z + -9z Combine like terms: 3z + -9z = -6z 13 + -6z = -23 + 9z + -9z Combine like terms: 9z + -9z = 0 13 + -6z = -23 + 0 13 + -6z = -23 Add '-13' to each side of the equation. 13 + -13 + -6z = -23 + -13 Combine like terms: 13 + -13 = 0 0 + -6z = -23 + -13 -6z = -23 + -13 Combine like terms: -23 + -13 = -36 -6z = -36 Divide each side by '-6'. z = 6 Simplifying z = 6
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