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Simplifying 4(4 + -2z) = 0 (4 * 4 + -2z * 4) = 0 (16 + -8z) = 0 Solving 16 + -8z = 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 + -8z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8z = 0 + -16 -8z = 0 + -16 Combine like terms: 0 + -16 = -16 -8z = -16 Divide each side by '-8'. z = 2 Simplifying z = 2
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