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Simplifying 6 + 2z + -5 = 9z + 3 + -6z Reorder the terms: 6 + -5 + 2z = 9z + 3 + -6z Combine like terms: 6 + -5 = 1 1 + 2z = 9z + 3 + -6z Reorder the terms: 1 + 2z = 3 + 9z + -6z Combine like terms: 9z + -6z = 3z 1 + 2z = 3 + 3z Solving 1 + 2z = 3 + 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. 1 + 2z + -3z = 3 + 3z + -3z Combine like terms: 2z + -3z = -1z 1 + -1z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 1 + -1z = 3 + 0 1 + -1z = 3 Add '-1' to each side of the equation. 1 + -1 + -1z = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = 3 + -1 -1z = 3 + -1 Combine like terms: 3 + -1 = 2 -1z = 2 Divide each side by '-1'. z = -2 Simplifying z = -2
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