SOLUTION: My daughter has the problem 1/4(7+3g)=-g/8 we are lost. Any help would be appreciated. I believe we are doing the -g/8 wrong.

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Question 664138: My daughter has the problem
1/4(7+3g)=-g/8 we are lost. Any help would be appreciated. I believe we are doing the -g/8 wrong.
Found 3 solutions by MathLover1, ReadingBoosters, mananth:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F4%29%287%2B3g%29=-g%2F8+
%287%2B3g%29%2F4=-g%2F8+..........cross multiply
%287%2B3g%29%2A8=-g%2A4+
56%2B24g=-4g+
24g%2B4g=-56+
28g=-56+
g=-56%2F28+
g=-2+

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with
1/4(7+3g) = -g/8
Distribute the 1/4
7/4 + 3/4g = -g/8
Group like terms
3/4g + g/8 = -7/4
Create common denominators
3/4g(2/2) + g/8 = -7/4
6/8g + 1g/8 = -7/4
7/8g = -7/4
Divide both sides by 7/8(same as multiplying by 8/7)
g = -7/4(8/7)
g = -2
...
Alternatively,
Start by distributing the 1/4
7/4+3/4g = -g/8
Multiply both sides by 8
14 + 6g = -g
Combine like terms
6g+g=-14
7g=-14
g=-2
...
Check
1/4(7+3(-2)) = 1/4
-(-2)/8 = 1/4
.........................
Delighted to help.
-Reading Boosters
Wanting for others what we want for ourselves.
www.MyHomeworkAnswers.com

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F4%29%287%2B3g%29=-g%2F8+

multiply by 4
%284%2F4%29%287%2B3g%29+=+-4g%2F8
7%2B3g=+-%281%2F2%29g
Multiply by 2
2%287%2B3g%29+=+-g
14%2B6g=-g
add -6g
14+6g-6g=-g-6g
14=-7g
/-7
g=-2