-4r+5s+r-7s=

Solution for -4r+5s+r-7s= equation:

Simplifying
-4r + 5s + r + -7s = 0

Reorder the terms:
-4r + r + 5s + -7s = 0

Combine like terms: -4r + r = -3r
-3r + 5s + -7s = 0

Combine like terms: 5s + -7s = -2s
-3r + -2s = 0

Solving
-3r + -2s = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '2s' to each side of the equation.
-3r + -2s + 2s = 0 + 2s

Combine like terms: -2s + 2s = 0
-3r + 0 = 0 + 2s
-3r = 0 + 2s
Remove the zero:
-3r = 2s

Divide each side by '-3'.
r = -0.6666666667s

Simplifying
r = -0.6666666667s