What is 2(8g+2)-1+4g-(2-5g) ?

The solution to 2(8g+2)-1+4g-(2-5g) is 25g+1

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simplify 2(8g+2)-1+4g-(2-5g)

simplify

2 (8 g + 2) - 1 + 4 g - (2 - 5 g)

25 g + 1

Solution steps

2 (8 g + 2) - 1 + 4 g - (2 - 5 g)

Apply the distributive law:

- (a - b) = - a + b

- (2 - 5 g) = - 2 + 5 g

= 2 (8 g + 2) - 1 + 4 g - 2 + 5 g

Expand

2 (8 g + 2) : 16 g + 4

= 16 g + 4 - 1 + 4 g - 2 + 5 g

Group like terms

= 16 g + 4 g + 5 g + 4 - 1 - 2

Add similar elements:

16 g + 4 g + 5 g = 25 g

= 25 g + 4 - 1 - 2

Subtract the numbers:

4 - 1 - 2 = 1

= 25 g + 1

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