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Simplifying 9z + 3 + -6z = 7 + 2z + 6 Reorder the terms: 3 + 9z + -6z = 7 + 2z + 6 Combine like terms: 9z + -6z = 3z 3 + 3z = 7 + 2z + 6 Reorder the terms: 3 + 3z = 7 + 6 + 2z Combine like terms: 7 + 6 = 13 3 + 3z = 13 + 2z Solving 3 + 3z = 13 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + 3z + -2z = 13 + 2z + -2z Combine like terms: 3z + -2z = 1z 3 + 1z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 1z = 13 + 0 3 + 1z = 13 Add '-3' to each side of the equation. 3 + -3 + 1z = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 13 + -3 1z = 13 + -3 Combine like terms: 13 + -3 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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