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Simplifying -32 = -8(2 + 2z) -32 = (2 * -8 + 2z * -8) -32 = (-16 + -16z) Solving -32 = -16 + -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. -32 + 16z = -16 + -16z + 16z Combine like terms: -16z + 16z = 0 -32 + 16z = -16 + 0 -32 + 16z = -16 Add '32' to each side of the equation. -32 + 32 + 16z = -16 + 32 Combine like terms: -32 + 32 = 0 0 + 16z = -16 + 32 16z = -16 + 32 Combine like terms: -16 + 32 = 16 16z = 16 Divide each side by '16'. z = 1 Simplifying z = 1
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