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Simplifying (4 + -1z)(-4) = 0 Reorder the terms for easier multiplication: -4(4 + -1z) = 0 (4 * -4 + -1z * -4) = 0 (-16 + 4z) = 0 Solving -16 + 4z = 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 + 4z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4z = 0 + 16 4z = 0 + 16 Combine like terms: 0 + 16 = 16 4z = 16 Divide each side by '4'. z = 4 Simplifying z = 4
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