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Simplifying -32 = -4(4 + 2z) -32 = (4 * -4 + 2z * -4) -32 = (-16 + -8z) Solving -32 = -16 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -32 + 8z = -16 + -8z + 8z Combine like terms: -8z + 8z = 0 -32 + 8z = -16 + 0 -32 + 8z = -16 Add '32' to each side of the equation. -32 + 32 + 8z = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 8z = -16 + 32 8z = -16 + 32 Combine like terms: -16 + 32 = 16 8z = 16 Divide each side by '8'. z = 2 Simplifying z = 2
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