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Simplifying 4 + -4(z + 2) = 32 Reorder the terms: 4 + -4(2 + z) = 32 4 + (2 * -4 + z * -4) = 32 4 + (-8 + -4z) = 32 Combine like terms: 4 + -8 = -4 -4 + -4z = 32 Solving -4 + -4z = 32 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4z = 32 + 4 Combine like terms: -4 + 4 = 0 0 + -4z = 32 + 4 -4z = 32 + 4 Combine like terms: 32 + 4 = 36 -4z = 36 Divide each side by '-4'. z = -9 Simplifying z = -9
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