What is simplify-(8a-6b-c)+(2a+8b+c) ?

The solution to simplify-(8a-6b-c)+(2a+8b+c) is -6a+14b+2c

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simplify-(8a-6b-c)+(2a+8b+c)

simplify

- (8 a - 6 b - c) + (2 a + 8 b + c)

- 6 a + 14 b + 2 c

Solution steps

- (8 a - 6 b - c) + (2 a + 8 b + c)

Apply rule:

a + (b + c) = a + b + c

- (8 a - 6 b - c) + (2 a + 8 b + c) = - (8 a - 6 b - c) + 2 a + 8 b + c

= - (8 a - 6 b - c) + 2 a + 8 b + c

Apply the distributive law:

- (a - b) = - a + b

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

= - 8 a + 6 b + c + 2 a + 8 b + c

Group like terms

= - 8 a + 2 a + 6 b + 8 b + c + c

Add similar elements:

- 8 a + 2 a = - 6 a

= - 6 a + 6 b + 8 b + c + c

Add similar elements:

6 b + 8 b = 14 b

= - 6 a + 14 b + c + c

Add similar elements:

c + c = 2 c

= - 6 a + 14 b + 2 c

\frac{z ^{2} z ^{4}}{z ^{3} z ^{- 1}}

2 x (2 - 4 x + 3) + 3 (x + 4 y) - 8 x

\frac{5 12}{8}

4 x (3 x - 5)

\frac{y ^{3} y ^{4}}{y y ^{2}}

What is simplify-(8a-6b-c)+(2a+8b+c) ?
The solution to simplify-(8a-6b-c)+(2a+8b+c) is -6a+14b+2c