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Simplifying 7 + 2z + -3 = 9z + 4 + -6z Reorder the terms: 7 + -3 + 2z = 9z + 4 + -6z Combine like terms: 7 + -3 = 4 4 + 2z = 9z + 4 + -6z Reorder the terms: 4 + 2z = 4 + 9z + -6z Combine like terms: 9z + -6z = 3z 4 + 2z = 4 + 3z Add '-4' to each side of the equation. 4 + -4 + 2z = 4 + -4 + 3z Combine like terms: 4 + -4 = 0 0 + 2z = 4 + -4 + 3z 2z = 4 + -4 + 3z Combine like terms: 4 + -4 = 0 2z = 0 + 3z 2z = 3z Solving 2z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2z + -3z = 3z + -3z Combine like terms: 2z + -3z = -1z -1z = 3z + -3z Combine like terms: 3z + -3z = 0 -1z = 0 Divide each side by '-1'. z = 0 Simplifying z = 0
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