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Simplifying 3z + -12 + -1z + 6 = 0 Reorder the terms: -12 + 6 + 3z + -1z = 0 Combine like terms: -12 + 6 = -6 -6 + 3z + -1z = 0 Combine like terms: 3z + -1z = 2z -6 + 2z = 0 Solving -6 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 2z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2z = 0 + 6 2z = 0 + 6 Combine like terms: 0 + 6 = 6 2z = 6 Divide each side by '2'. z = 3 Simplifying z = 3
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