What is 17-(2w+3)+7(10-w) ?

The solution to 17-(2w+3)+7(10-w) is -9w+84

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simplify 17-(2w+3)+7(10-w)

simplify

17 - (2 w + 3) + 7 (10 - w)

- 9 w + 84

Solution steps

17 - (2 w + 3) + 7 (10 - w)

Apply the distributive law:

- (a + b) = - a - b

- (2 w + 3) = - 2 w - 3

= 17 - 2 w - 3 + 7 (10 - w)

Expand

7 (10 - w) : 70 - 7 w

= 17 - 2 w - 3 + 70 - 7 w

Group like terms

= - 2 w - 7 w + 17 - 3 + 70

Add similar elements:

- 2 w - 7 w = - 9 w

= - 9 w + 17 - 3 + 70

Add the numbers:

17 - 3 + 70 = 84

= - 9 w + 84

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