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Simplifying -6(7z + 6) = 0 Reorder the terms: -6(6 + 7z) = 0 (6 * -6 + 7z * -6) = 0 (-36 + -42z) = 0 Solving -36 + -42z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -42z = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -42z = 0 + 36 -42z = 0 + 36 Combine like terms: 0 + 36 = 36 -42z = 36 Divide each side by '-42'. z = -0.8571428571 Simplifying z = -0.8571428571
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