1/4(7+3g)=-g/8

you should start by multiplying both sides by 8 (to even out the g on the right) then expand the right side by multiplying each number inside the parenthesis by the number outside. Finally, get all the g's on one side, add them (or subtract) and divide both sides by that number!

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

7/6

To solve the equation 1/4(7+3g) = -g/8, follow these steps:

Step 1: Distribute the 1/4 to the terms inside the parentheses:
(1/4)(7 + 3g) = -g/8
(1/4)(7) + (1/4)(3g) = -g/8

Simplifying further, we have:
7/4 + (3/4)g = -g/8

Step 2: Get rid of the fractions. Multiply through by 8 to eliminate the denominators:
8(7/4) + 8(3/4)g = 8(-g/8)

Simplify:
14 + 6g = -g

Step 3: Combine like terms:
6g + g = -14

Simplifying:
7g = -14

Step 4: Solve for g by dividing both sides of the equation by 7:
g = -14/7

Simplifying:
g = -2

Thus, the solution to the equation 1/4(7+3g) = -g/8 is g = -2.