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Simplifying -8 = -2(2 + 2z) -8 = (2 * -2 + 2z * -2) -8 = (-4 + -4z) Solving -8 = -4 + -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. -8 + 4z = -4 + -4z + 4z Combine like terms: -4z + 4z = 0 -8 + 4z = -4 + 0 -8 + 4z = -4 Add '8' to each side of the equation. -8 + 8 + 4z = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = -4 + 8 4z = -4 + 8 Combine like terms: -4 + 8 = 4 4z = 4 Divide each side by '4'. z = 1 Simplifying z = 1
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