Solve 15r-[9s-(-3t-8s)-(2t+r-9s)]=

$$15 r - [ 9 s - ( - 3 t - 8 s ) - ( 2 t + r - 9 s ) ] =$$

Evaluate

$$16r-26s-t$$

Solution Steps

To find the opposite of -3t-8s, find the opposite of each term.

$$15r-\left(9s-\left(-3t\right)-\left(-8s\right)-\left(2t+r-9s\right)\right)$$

The opposite of -3t is 3t.

$$15r-\left(9s+3t-\left(-8s\right)-\left(2t+r-9s\right)\right)$$

The opposite of -8s is 8s.

$$15r-\left(9s+3t+8s-\left(2t+r-9s\right)\right)$$

Combine 9s and 8s to get 17s.

$$15r-\left(17s+3t-\left(2t+r-9s\right)\right)$$

To find the opposite of 2t+r-9s, find the opposite of each term.

$$15r-\left(17s+3t-2t-r-\left(-9s\right)\right)$$

The opposite of -9s is 9s.

$$15r-\left(17s+3t-2t-r+9s\right)$$

Combine 3t and -2t to get t.

$$15r-\left(17s+t-r+9s\right)$$

Combine 17s and 9s to get 26s.

$$15r-\left(26s+t-r\right)$$

To find the opposite of 26s+t-r, find the opposite of each term.

$$15r-26s-t-\left(-r\right)$$

The opposite of -r is r.

$$15r-26s-t+r$$

Combine 15r and r to get 16r.

$$16r-26s-t$$

Expand

$$16r-26s-t$$

Solution Steps

To find the opposite of -3t-8s, find the opposite of each term.

$$15r-\left(9s-\left(-3t\right)-\left(-8s\right)-\left(2t+r-9s\right)\right)$$

The opposite of -3t is 3t.

$$15r-\left(9s+3t-\left(-8s\right)-\left(2t+r-9s\right)\right)$$

The opposite of -8s is 8s.

$$15r-\left(9s+3t+8s-\left(2t+r-9s\right)\right)$$

Combine 9s and 8s to get 17s.

$$15r-\left(17s+3t-\left(2t+r-9s\right)\right)$$

To find the opposite of 2t+r-9s, find the opposite of each term.

$$15r-\left(17s+3t-2t-r-\left(-9s\right)\right)$$

The opposite of -9s is 9s.

$$15r-\left(17s+3t-2t-r+9s\right)$$

Combine 3t and -2t to get t.

$$15r-\left(17s+t-r+9s\right)$$

Combine 17s and 9s to get 26s.

$$15r-\left(26s+t-r\right)$$

To find the opposite of 26s+t-r, find the opposite of each term.

$$15r-26s-t-\left(-r\right)$$

The opposite of -r is r.

$$15r-26s-t+r$$

Combine 15r and r to get 16r.

$$16r-26s-t$$