Question

5g+4(-5+3g)=1-g

Answer 1

do you know how to distribute through the parenthesis ?

Answer 2

take the number outside of the parenthesis and multiply it by everything in the parenthesis.
So, 5g + 4(-5 + 3g) = 1 - g, would become..
5g + 4 * -5 + 4 * 3g = 1 - g
5g - 20 + 12g = 1 - g -- combine like terms
17g - 20 = 1 - g -- add g to both sides
17g + g - 20 = 1 --- add 20 to both sides
17g + g = 1 + 20 -- combine like terms
18g = 21
g = 21/18
check...
18g = 21
18(21/18) = 21
21 = 21 (correct)

answer : g = 21/18