What is the answer to (-3)/(8r+41)=-22 ?

The answer to (-3)/(8r+41)=-22 is r=-899/176

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(-3)/(8r+41)=-22

\frac{- 3}{8 r + 41} = - 22

r = - \frac{899}{176}

Decimal Notation

r = - 5.10795 \dots

Solution steps

\frac{- 3}{8 r + 41} = - 22

Simplify

\frac{- 3}{8 r + 41} : - \frac{3}{8 r + 41}

- \frac{3}{8 r + 41} = - 22

Multiply both sides by

8 r + 41

- 3 = - 22 (8 r + 41)

Switch sides

- 22 (8 r + 41) = - 3

Divide both sides by

- 22

8 r + 41 = \frac{3}{22}

Move

41

to the right side

8 r = - \frac{899}{22}

Divide both sides by

8

r = - \frac{899}{176}

Verify Solutions

Find undefined (singularity) points:

r = - \frac{41}{8}

Combine undefined points with solutions:

r = - \frac{899}{176}

\frac{x}{x + 3} = \frac{x + 4}{x - 2}

\frac{1}{18} = \frac{5}{- 4 ( x - 1 )}

\frac{2 π}{b} = \frac{π}{4}

\frac{12}{2 x} = 3

x - \frac{x}{x + 5} = \frac{5}{x + 5}

What is the answer to (-3)/(8r+41)=-22 ?
The answer to (-3)/(8r+41)=-22 is r=-899/176
Solve for r: (-3)/(8r+41)=-22
The solution is r=-899/176