If d-3f+g=17, determine the value of the expression 2(d+2)-(4f-3)+(f+g-d).

2(d+2)-(4f-3)+(f+g-d)

= 2d + 4 - 4f + 3 + f+g-d
= d - 3f + g + 7
= 17+7 = 24

how did you get the 17+7=24?

did you follow it up to

= d - 3f + g + 7
= (d - 3f + g) + 7 , but you told me d - 3f + g = 17
= 17+7
= 24

ohhhh ok I see. I feel dumb. Thank you for showing me how to solve this problem!

To determine the value of the given expression, we need to substitute the values of the variables (d, f, and g) into the expression and simplify it.

Given, d - 3f + g = 17.

Let's calculate the expression step by step:

Expression = 2(d + 2) - (4f - 3) + (f + g - d).

1. Substitute the value of d - 3f + g in the expression:
Expression = 2(d + 2) - (4f - 3) + (f + g - d)
= 2(d + 2) - 4f + 3 + f + g - d
= 2d + 4 - 4f + 3 + f + g - d

2. Simplify the expression:
Combining like terms, we have:
Expression = (2d - d) + (4f - 4f) + (f) + (g) + (4 + 3)
= d + f + g + 7

Therefore, the value of the expression 2(d+2)-(4f-3)+(f+g-d) is equal to d + f + g + 7.