Calculate: -(7)/(3)u=35

Expression: $-\frac{ 7 }{ 3 }u=35$

Multiply both sides of the equation by $-\frac{ 3 }{ 7 }$

$-\frac{ 3 }{ 7 } \times \left( -\frac{ 7 }{ 3 } \right)u=-\frac{ 3 }{ 7 } \times 35$

Multiplying an even number of negative terms makes the product positive

$\frac{ 3 }{ 7 } \times \frac{ 7 }{ 3 }u=-\frac{ 3 }{ 7 } \times 35$

Cancel out the greatest common factor $3$

$\frac{ 1 }{ 7 } \times 7u=-\frac{ 3 }{ 7 } \times 35$

Cancel out the greatest common factor $7$

$u=-\frac{ 3 }{ 7 } \times 35$

Cancel out the greatest common factor $7$

$u=-3 \times 5$

Multiply the numbers

$u=-15$