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