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Simplifying 8 + -1(2z + -8) = 2 + -3z Reorder the terms: 8 + -1(-8 + 2z) = 2 + -3z 8 + (-8 * -1 + 2z * -1) = 2 + -3z 8 + (8 + -2z) = 2 + -3z Combine like terms: 8 + 8 = 16 16 + -2z = 2 + -3z Solving 16 + -2z = 2 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 16 + -2z + 3z = 2 + -3z + 3z Combine like terms: -2z + 3z = 1z 16 + 1z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 16 + 1z = 2 + 0 16 + 1z = 2 Add '-16' to each side of the equation. 16 + -16 + 1z = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 1z = 2 + -16 1z = 2 + -16 Combine like terms: 2 + -16 = -14 1z = -14 Divide each side by '1'. z = -14 Simplifying z = -14
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