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Simplifying -2(7z + 8) = 0 Reorder the terms: -2(8 + 7z) = 0 (8 * -2 + 7z * -2) = 0 (-16 + -14z) = 0 Solving -16 + -14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -14z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -14z = 0 + 16 -14z = 0 + 16 Combine like terms: 0 + 16 = 16 -14z = 16 Divide each side by '-14'. z = -1.142857143 Simplifying z = -1.142857143
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