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Simplifying -8 = -2[z + 7] Reorder the terms: -8 = -2[7 + z] -8 = [7 * -2 + z * -2] -8 = [-14 + -2z] Solving -8 = -14 + -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. -8 + 2z = -14 + -2z + 2z Combine like terms: -2z + 2z = 0 -8 + 2z = -14 + 0 -8 + 2z = -14 Add '8' to each side of the equation. -8 + 8 + 2z = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = -14 + 8 2z = -14 + 8 Combine like terms: -14 + 8 = -6 2z = -6 Divide each side by '2'. z = -3 Simplifying z = -3
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