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Simplifying (8z + -7)(2 + -4) = 0 Reorder the terms: (-7 + 8z)(2 + -4) = 0 Combine like terms: 2 + -4 = -2 (-7 + 8z)(-2) = 0 Reorder the terms for easier multiplication: -2(-7 + 8z) = 0 (-7 * -2 + 8z * -2) = 0 (14 + -16z) = 0 Solving 14 + -16z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -16z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -16z = 0 + -14 -16z = 0 + -14 Combine like terms: 0 + -14 = -14 -16z = -14 Divide each side by '-16'. z = 0.875 Simplifying z = 0.875
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