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Simplifying 5 + 13z + -3 = 7z + 20 + -3z Reorder the terms: 5 + -3 + 13z = 7z + 20 + -3z Combine like terms: 5 + -3 = 2 2 + 13z = 7z + 20 + -3z Reorder the terms: 2 + 13z = 20 + 7z + -3z Combine like terms: 7z + -3z = 4z 2 + 13z = 20 + 4z Solving 2 + 13z = 20 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 13z + -4z = 20 + 4z + -4z Combine like terms: 13z + -4z = 9z 2 + 9z = 20 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 9z = 20 + 0 2 + 9z = 20 Add '-2' to each side of the equation. 2 + -2 + 9z = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 20 + -2 9z = 20 + -2 Combine like terms: 20 + -2 = 18 9z = 18 Divide each side by '9'. z = 2 Simplifying z = 2
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