What is (7/2 b-3)-(8+6b) ?

The solution to (7/2 b-3)-(8+6b) is -5/2 b-11

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simplify (7/2 b-3)-(8+6b)

simplify

(\frac{7}{2} b - 3) - (8 + 6 b)

- \frac{5}{2} b - 11

Solution steps

(\frac{7}{2} b - 3) - (8 + 6 b)

Apply rule:

(a) = a

(\frac{7}{2} b - 3) = \frac{7}{2} b - 3

= \frac{7}{2} b - 3 - (8 + 6 b)

Apply the distributive law:

- (a + b) = - a - b

- (8 + 6 b) = - 8 - 6 b

= \frac{7}{2} b - 3 - 8 - 6 b

Group like terms

= \frac{7}{2} b - 6 b - 3 - 8

Factor out common term

b

= b (\frac{7}{2} - 6) - 3 - 8

Subtract the numbers:

- 3 - 8 = - 11

= b (\frac{7}{2} - 6) - 11

Simplify

b (\frac{7}{2} - 6) : - b \frac{5}{2}

= - b \frac{5}{2} - 11

= - \frac{5}{2} b - 11

- 4 w (y - 2)

\frac{9 x}{3 x}

2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

(\frac{1}{2} + x y)^{7}

(7 - 3 x)^{2}