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Simplifying 3 + 2z + -2 = 9z + 3 + -5z Reorder the terms: 3 + -2 + 2z = 9z + 3 + -5z Combine like terms: 3 + -2 = 1 1 + 2z = 9z + 3 + -5z Reorder the terms: 1 + 2z = 3 + 9z + -5z Combine like terms: 9z + -5z = 4z 1 + 2z = 3 + 4z Solving 1 + 2z = 3 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 1 + 2z + -4z = 3 + 4z + -4z Combine like terms: 2z + -4z = -2z 1 + -2z = 3 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -2z = 3 + 0 1 + -2z = 3 Add '-1' to each side of the equation. 1 + -1 + -2z = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = 3 + -1 -2z = 3 + -1 Combine like terms: 3 + -1 = 2 -2z = 2 Divide each side by '-2'. z = -1 Simplifying z = -1
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