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Simplifying 3z + -4z = 9z + 2 + 3z Combine like terms: 3z + -4z = -1z -1z = 9z + 2 + 3z Reorder the terms: -1z = 2 + 9z + 3z Combine like terms: 9z + 3z = 12z -1z = 2 + 12z Solving -1z = 2 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -1z + -12z = 2 + 12z + -12z Combine like terms: -1z + -12z = -13z -13z = 2 + 12z + -12z Combine like terms: 12z + -12z = 0 -13z = 2 + 0 -13z = 2 Divide each side by '-13'. z = -0.1538461538 Simplifying z = -0.1538461538
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