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Simplifying 12 = -2(z + 8) Reorder the terms: 12 = -2(8 + z) 12 = (8 * -2 + z * -2) 12 = (-16 + -2z) Solving 12 = -16 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 12 + 2z = -16 + -2z + 2z Combine like terms: -2z + 2z = 0 12 + 2z = -16 + 0 12 + 2z = -16 Add '-12' to each side of the equation. 12 + -12 + 2z = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = -16 + -12 2z = -16 + -12 Combine like terms: -16 + -12 = -28 2z = -28 Divide each side by '2'. z = -14 Simplifying z = -14
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