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Simplifying 4(-4z + 4) = -32 Reorder the terms: 4(4 + -4z) = -32 (4 * 4 + -4z * 4) = -32 (16 + -16z) = -32 Solving 16 + -16z = -32 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 + -16z = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -16z = -32 + -16 -16z = -32 + -16 Combine like terms: -32 + -16 = -48 -16z = -48 Divide each side by '-16'. z = 3 Simplifying z = 3
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