What is 3a+(a+7b-4c)-(3a+5b-3c)-(b-c) ?

The solution to 3a+(a+7b-4c)-(3a+5b-3c)-(b-c) is a+b

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simplify 3a+(a+7b-4c)-(3a+5b-3c)-(b-c)

simplify

3 a + (a + 7 b - 4 c) - (3 a + 5 b - 3 c) - (b - c)

a + b

Solution steps

3 a + (a + 7 b - 4 c) - (3 a + 5 b - 3 c) - (b - c)

Apply rule:

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

3 a + (a + 7 b - 4 c) = 3 a + a + 7 b - 4 c

= 3 a + a + 7 b - 4 c - (3 a + 5 b - 3 c) - (b - c)

Add similar elements:

3 a + a = 4 a

= 4 a + 7 b - 4 c - (3 a + 5 b - 3 c) - (b - c)

- (3 a + 5 b - 3 c) = - 3 a - 5 b + 3 c

- (b - c) = - b + c

= 4 a + 7 b - 4 c - 3 a - 5 b + 3 c - b + c

Group like terms

= 4 a - 3 a + 7 b - 5 b - b - 4 c + 3 c + c

Add similar elements:

4 a - 3 a = a

= a + 7 b - 5 b - b - 4 c + 3 c + c

Add similar elements:

7 b - 5 b - b = b

= a + b - 4 c + 3 c + c

Add similar elements:

- 4 c + 3 c + c = 0

= a + b

(3 - 52)^{2}

lo g_{6} (4) + lo g_{6} (54)

(\frac{3 x y}{z ^{- 2}})^{3}

\frac{115}{2}

(x + 9) (x - 8)

What is 3a+(a+7b-4c)-(3a+5b-3c)-(b-c) ?
The solution to 3a+(a+7b-4c)-(3a+5b-3c)-(b-c) is a+b