Solve 10-(2v-1)-0,5(3v-6)-8(0,5v-1)-5v=

$$10 - ( 2 v - 1 ) - 0,5 ( 3 v - 6 ) - 8 ( 0,5 v - 1 ) - 5 v =$$

Evaluate

$$-\frac{25v}{2}+22$$

Solution Steps

To find the opposite of 2v-1, find the opposite of each term.

$$10-2v-\left(-1\right)-0,5\left(3v-6\right)-8\left(0,5v-1\right)-5v$$

The opposite of -1 is 1.

$$10-2v+1-0,5\left(3v-6\right)-8\left(0,5v-1\right)-5v$$

Add 10 and 1 to get 11.

$$11-2v-0,5\left(3v-6\right)-8\left(0,5v-1\right)-5v$$

Use the distributive property to multiply -0,5 by 3v-6.

$$11-2v-1,5v+3-8\left(0,5v-1\right)-5v$$

Combine -2v and -1,5v to get -3,5v.

$$11-3,5v+3-8\left(0,5v-1\right)-5v$$

Add 11 and 3 to get 14.

$$14-3,5v-8\left(0,5v-1\right)-5v$$

Use the distributive property to multiply -8 by 0,5v-1.

$$14-3,5v-4v+8-5v$$

Combine -3,5v and -4v to get -7,5v.

$$14-7,5v+8-5v$$

Add 14 and 8 to get 22.

$$22-7,5v-5v$$

Combine -7,5v and -5v to get -12,5v.

$$22-12,5v$$

Expand

$$-\frac{25v}{2}+22$$

Solution Steps

To find the opposite of 2v-1, find the opposite of each term.

$$10-2v-\left(-1\right)-0,5\left(3v-6\right)-8\left(0,5v-1\right)-5v$$

The opposite of -1 is 1.

$$10-2v+1-0,5\left(3v-6\right)-8\left(0,5v-1\right)-5v$$

Add 10 and 1 to get 11.

$$11-2v-0,5\left(3v-6\right)-8\left(0,5v-1\right)-5v$$

Use the distributive property to multiply -0,5 by 3v-6.

$$11-2v-1,5v+3-8\left(0,5v-1\right)-5v$$

Combine -2v and -1,5v to get -3,5v.

$$11-3,5v+3-8\left(0,5v-1\right)-5v$$

Add 11 and 3 to get 14.

$$14-3,5v-8\left(0,5v-1\right)-5v$$

Use the distributive property to multiply -8 by 0,5v-1.

$$14-3,5v-4v+8-5v$$

Combine -3,5v and -4v to get -7,5v.

$$14-7,5v+8-5v$$

Add 14 and 8 to get 22.

$$22-7,5v-5v$$

Combine -7,5v and -5v to get -12,5v.

$$22-12,5v$$