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Simplifying -4(8z + 7) = 0 Reorder the terms: -4(7 + 8z) = 0 (7 * -4 + 8z * -4) = 0 (-28 + -32z) = 0 Solving -28 + -32z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -32z = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -32z = 0 + 28 -32z = 0 + 28 Combine like terms: 0 + 28 = 28 -32z = 28 Divide each side by '-32'. z = -0.875 Simplifying z = -0.875
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