Solve -8,6(1,6b-5)-(2,9b-8)-4(4-1,5b)

$$- 8,6 ( 1,6 b - 5 ) - ( 2,9 b - 8 ) - 4 ( 4 - 1,5 b )$$

Evaluate

$$-\frac{533b}{50}+35$$

Solution Steps

Use the distributive property to multiply -8,6 by 1,6b-5.

$$-13,76b+43-\left(2,9b-8\right)-4\left(4-1,5b\right)$$

To find the opposite of 2,9b-8, find the opposite of each term.

$$-13,76b+43-2,9b-\left(-8\right)-4\left(4-1,5b\right)$$

The opposite of -8 is 8.

$$-13,76b+43-2,9b+8-4\left(4-1,5b\right)$$

Combine -13,76b and -2,9b to get -16,66b.

$$-16,66b+43+8-4\left(4-1,5b\right)$$

Add 43 and 8 to get 51.

$$-16,66b+51-4\left(4-1,5b\right)$$

Use the distributive property to multiply -4 by 4-1,5b.

$$-16,66b+51-16+6b$$

Subtract 16 from 51 to get 35.

$$-16,66b+35+6b$$

Combine -16,66b and 6b to get -10,66b.

$$-10,66b+35$$

Expand

$$-\frac{533b}{50}+35$$

Solution Steps

Use the distributive property to multiply -8,6 by 1,6b-5.

$$-13,76b+43-\left(2,9b-8\right)-4\left(4-1,5b\right)$$

To find the opposite of 2,9b-8, find the opposite of each term.

$$-13,76b+43-2,9b-\left(-8\right)-4\left(4-1,5b\right)$$

The opposite of -8 is 8.

$$-13,76b+43-2,9b+8-4\left(4-1,5b\right)$$

Combine -13,76b and -2,9b to get -16,66b.

$$-16,66b+43+8-4\left(4-1,5b\right)$$

Add 43 and 8 to get 51.

$$-16,66b+51-4\left(4-1,5b\right)$$

Use the distributive property to multiply -4 by 4-1,5b.

$$-16,66b+51-16+6b$$

Subtract 16 from 51 to get 35.

$$-16,66b+35+6b$$

Combine -16,66b and 6b to get -10,66b.

$$-10,66b+35$$