-7r+3t-s-r+s+4t-t+2s-r=

Solution for -7r+3t-s-r+s+4t-t+2s-r= equation:

Simplifying
-7r + 3t + -1s + -1r + s + 4t + -1t + 2s + -1r = 0

Reorder the terms:
-7r + -1r + -1r + -1s + s + 2s + 3t + 4t + -1t = 0

Combine like terms: -7r + -1r = -8r
-8r + -1r + -1s + s + 2s + 3t + 4t + -1t = 0

Combine like terms: -8r + -1r = -9r
-9r + -1s + s + 2s + 3t + 4t + -1t = 0

Combine like terms: -1s + s = 0
-9r + 0 + 2s + 3t + 4t + -1t = 0
-9r + 2s + 3t + 4t + -1t = 0

Combine like terms: 3t + 4t = 7t
-9r + 2s + 7t + -1t = 0

Combine like terms: 7t + -1t = 6t
-9r + 2s + 6t = 0

Solving
-9r + 2s + 6t = 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.
-9r + 2s + -2s + 6t = 0 + -2s

Combine like terms: 2s + -2s = 0
-9r + 0 + 6t = 0 + -2s
-9r + 6t = 0 + -2s
Remove the zero:
-9r + 6t = -2s

Add '-6t' to each side of the equation.
-9r + 6t + -6t = -2s + -6t

Combine like terms: 6t + -6t = 0
-9r + 0 = -2s + -6t
-9r = -2s + -6t

Divide each side by '-9'.
r = 0.2222222222s + 0.6666666667t

Simplifying
r = 0.2222222222s + 0.6666666667t