What is the answer to 7/8 r= 1/4 (3r-2)-7+3/4 r ?

The answer to 7/8 r= 1/4 (3r-2)-7+3/4 r is r=12

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7/8 r= 1/4 (3r-2)-7+3/4 r

\frac{7}{8} r = \frac{1}{4} (3 r - 2) - 7 + \frac{3}{4} r

r = 12

Solution steps

\frac{7}{8} r = \frac{1}{4} (3 r - 2) - 7 + \frac{3}{4} r

Expand

\frac{1}{4} (3 r - 2) - 7 + \frac{3}{4} r : \frac{3 r}{2} - \frac{1}{2} - 7

\frac{7}{8} r = \frac{3 r}{2} - \frac{1}{2} - 7

Move

\frac{3 r}{2}

to the left side

- \frac{5 r}{8} = - \frac{1}{2} - 7

Multiply both sides by

8

- 5 r = - 60

Divide both sides by

- 5

r = 12

15 - \frac{x}{2} = 7

x, 8 x + y = 9

x, 3 x - 5 y = 8

x, 3 x - 5 y = 2

x, 3 x - 5 y = 1

What is the answer to 7/8 r= 1/4 (3r-2)-7+3/4 r ?
The answer to 7/8 r= 1/4 (3r-2)-7+3/4 r is r=12
Solve for r: 7/8 r= 1/4 (3r-2)-7+3/4 r
The solution is r=12