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Simplifying -2[z + 8] = 6 Reorder the terms: -2[8 + z] = 6 [8 * -2 + z * -2] = 6 [-16 + -2z] = 6 Solving -16 + -2z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -2z = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -2z = 6 + 16 -2z = 6 + 16 Combine like terms: 6 + 16 = 22 -2z = 22 Divide each side by '-2'. z = -11 Simplifying z = -11
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