What is (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b) ?

The solution to (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b) is 10.7a-8.1b

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simplify (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b)

simplify

(14.2 a + 9.8 b) - (13.1 b - 0.2 a) - (3.7 a + 4.8 b)

10.7 a - 8.1 b

Solution steps

(14.2 a + 9.8 b) - (13.1 b - 0.2 a) - (3.7 a + 4.8 b)

Apply rule:

(a) = a

(14.2 a + 9.8 b) = 14.2 a + 9.8 b

= 14.2 a + 9.8 b - (13.1 b - 0.2 a) - (3.7 a + 4.8 b)

- (13.1 b - 0.2 a) = - 13.1 b + 0.2 a

- (3.7 a + 4.8 b) = - 3.7 a - 4.8 b

= 14.2 a + 9.8 b - 13.1 b + 0.2 a - 3.7 a - 4.8 b

Group like terms

= 14.2 a + 0.2 a - 3.7 a + 9.8 b - 13.1 b - 4.8 b

Add similar elements:

14.2 a + 0.2 a - 3.7 a = 10.7 a

= 10.7 a + 9.8 b - 13.1 b - 4.8 b

Add similar elements:

9.8 b - 13.1 b - 4.8 b = - 8.1 b

= 10.7 a - 8.1 b

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What is (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b) ?
The solution to (14.2a+9.8b)-(13.1b-0.2a)-(3.7a+4.8b) is 10.7a-8.1b