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Simplifying -8(-4 + -2z) = 8z (-4 * -8 + -2z * -8) = 8z (32 + 16z) = 8z Solving 32 + 16z = 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 + 16z + -8z = 8z + -8z Combine like terms: 16z + -8z = 8z 32 + 8z = 8z + -8z Combine like terms: 8z + -8z = 0 32 + 8z = 0 Add '-32' to each side of the equation. 32 + -32 + 8z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8z = 0 + -32 8z = 0 + -32 Combine like terms: 0 + -32 = -32 8z = -32 Divide each side by '8'. z = -4 Simplifying z = -4
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