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Simplifying 8(z + 2) = -4(z + 2) Reorder the terms: 8(2 + z) = -4(z + 2) (2 * 8 + z * 8) = -4(z + 2) (16 + 8z) = -4(z + 2) Reorder the terms: 16 + 8z = -4(2 + z) 16 + 8z = (2 * -4 + z * -4) 16 + 8z = (-8 + -4z) Solving 16 + 8z = -8 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 16 + 8z + 4z = -8 + -4z + 4z Combine like terms: 8z + 4z = 12z 16 + 12z = -8 + -4z + 4z Combine like terms: -4z + 4z = 0 16 + 12z = -8 + 0 16 + 12z = -8 Add '-16' to each side of the equation. 16 + -16 + 12z = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 12z = -8 + -16 12z = -8 + -16 Combine like terms: -8 + -16 = -24 12z = -24 Divide each side by '12'. z = -2 Simplifying z = -2
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