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Simplifying 3 + 10z + -2 = 9z + 13 + -3z Reorder the terms: 3 + -2 + 10z = 9z + 13 + -3z Combine like terms: 3 + -2 = 1 1 + 10z = 9z + 13 + -3z Reorder the terms: 1 + 10z = 13 + 9z + -3z Combine like terms: 9z + -3z = 6z 1 + 10z = 13 + 6z Solving 1 + 10z = 13 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + 10z + -6z = 13 + 6z + -6z Combine like terms: 10z + -6z = 4z 1 + 4z = 13 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + 4z = 13 + 0 1 + 4z = 13 Add '-1' to each side of the equation. 1 + -1 + 4z = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4z = 13 + -1 4z = 13 + -1 Combine like terms: 13 + -1 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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