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Simplifying 32 = 12 + (4z + -4) Reorder the terms: 32 = 12 + (-4 + 4z) Remove parenthesis around (-4 + 4z) 32 = 12 + -4 + 4z Combine like terms: 12 + -4 = 8 32 = 8 + 4z Solving 32 = 8 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 32 + -4z = 8 + 4z + -4z Combine like terms: 4z + -4z = 0 32 + -4z = 8 + 0 32 + -4z = 8 Add '-32' to each side of the equation. 32 + -32 + -4z = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -4z = 8 + -32 -4z = 8 + -32 Combine like terms: 8 + -32 = -24 -4z = -24 Divide each side by '-4'. z = 6 Simplifying z = 6
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