What is (1-7a)-(7a-16) ?

The solution to (1-7a)-(7a-16) is -14a+17

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simplify (1-7a)-(7a-16)

simplify

(1 - 7 a) - (7 a - 16)

- 14 a + 17

Solution steps

(1 - 7 a) - (7 a - 16)

Apply rule:

(a) = a

(1 - 7 a) = 1 - 7 a

= 1 - 7 a - (7 a - 16)

Apply the distributive law:

- (a - b) = - a + b

- (7 a - 16) = - 7 a + 16

= 1 - 7 a - 7 a + 16

Group like terms

= - 7 a - 7 a + 1 + 16

Add similar elements:

- 7 a - 7 a = - 14 a

= - 14 a + 1 + 16

Add the numbers:

1 + 16 = 17

= - 14 a + 17

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