$12 \times \left( -\frac{ 1 }{ 2 } \right)+6\sin\left({\frac{ π }{ 6 }}\right)$
Use the trigonometric values table or unit circle to evaluate the expression$12 \times \left( -\frac{ 1 }{ 2 } \right)+6 \times \frac{ 1 }{ 2 }$
Multiplying a positive and a negative equals a negative: $\left( + \right) \times \left( - \right)=\left( - \right)$$-12 \times \frac{ 1 }{ 2 }+6 \times \frac{ 1 }{ 2 }$
Cancel out the greatest common factor $2$$-6+6 \times \frac{ 1 }{ 2 }$
Cancel out the greatest common factor $2$$-6+3$
Calculate the sum$-3$