To find which expression simplifies to \( 87 - \sqrt{3} \), let's simplify each of the provided options one by one.
1. **Option 1: \( -67 - \sqrt{3} - 27 - \sqrt{3} \)**
Simplifying:
\[
-67 - 27 - \sqrt{3} - \sqrt{3} = -94 - 2\sqrt{3}
\]
This does not equal \( 87 - \sqrt{3} \).
2. **Option 2: \( -6\sqrt[3]{7} - 2\sqrt[3]{7} \)**
Simplifying:
\[
-6\sqrt[3]{7} - 2\sqrt[3]{7} = -8\sqrt[3]{7}
\]
This does not equal \( 87 - \sqrt{3} \).
3. **Option 3: \( 36 - \sqrt{3} + 51 - \sqrt{3} \)**
Simplifying:
\[
36 + 51 - \sqrt{3} - \sqrt{3} = 87 - 2\sqrt{3}
\]
This does not equal \( 87 - \sqrt{3} \).
4. **Option 4: \( 256 - \sqrt{3} - 47 - \sqrt{3} \)**
Simplifying:
\[
256 - 47 - \sqrt{3} - \sqrt{3} = 209 - 2\sqrt{3}
\]
This does not equal \( 87 - \sqrt{3} \).
5. **Option 5: \( 56 - \sqrt{3} + 67 - \sqrt{3} \)**
Simplifying:
\[
56 + 67 - \sqrt{3} - \sqrt{3} = 123 - 2\sqrt{3}
\]
This does not equal \( 87 - \sqrt{3} \).
None of the options given lead directly to \( 87 - \sqrt{3} \). Therefore, none of these expressions simplify to the required expression.