Solve for: (2)/(3)s=-8

Expression: $\frac{ 2 }{ 3 }s=-8$

Multiply both sides of the equation by $\frac{ 3 }{ 2 }$

$\frac{ 3 }{ 2 } \times \frac{ 2 }{ 3 }s=\frac{ 3 }{ 2 } \times \left( -8 \right)$

Cancel out the greatest common factor $3$

$\frac{ 1 }{ 2 } \times 2s=\frac{ 3 }{ 2 } \times \left( -8 \right)$

Cancel out the greatest common factor $2$

$s=\frac{ 3 }{ 2 } \times \left( -8 \right)$

Multiplying a positive and a negative equals a negative: $\left( + \right) \times \left( - \right)=\left( - \right)$

$s=-\frac{ 3 }{ 2 } \times 8$

Cancel out the greatest common factor $2$

$s=-3 \times 4$

Multiply the numbers

$s=-12$