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Simplifying 6 + 3z + -2 = 9z + 13 + -7z Reorder the terms: 6 + -2 + 3z = 9z + 13 + -7z Combine like terms: 6 + -2 = 4 4 + 3z = 9z + 13 + -7z Reorder the terms: 4 + 3z = 13 + 9z + -7z Combine like terms: 9z + -7z = 2z 4 + 3z = 13 + 2z Solving 4 + 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. 4 + 3z + -2z = 13 + 2z + -2z Combine like terms: 3z + -2z = 1z 4 + 1z = 13 + 2z + -2z Combine like terms: 2z + -2z = 0 4 + 1z = 13 + 0 4 + 1z = 13 Add '-4' to each side of the equation. 4 + -4 + 1z = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 13 + -4 1z = 13 + -4 Combine like terms: 13 + -4 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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