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Simplifying 2(7z + 3 + -1z) = 0 Reorder the terms: 2(3 + 7z + -1z) = 0 Combine like terms: 7z + -1z = 6z 2(3 + 6z) = 0 (3 * 2 + 6z * 2) = 0 (6 + 12z) = 0 Solving 6 + 12z = 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 + 12z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 12z = 0 + -6 12z = 0 + -6 Combine like terms: 0 + -6 = -6 12z = -6 Divide each side by '12'. z = -0.5 Simplifying z = -0.5
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