7r+2s-8(2r-2s)=1

Solution for 7r+2s-8(2r-2s)=1 equation:

Simplifying
7r + 2s + -8(2r + -2s) = 1
7r + 2s + (2r * -8 + -2s * -8) = 1
7r + 2s + (-16r + 16s) = 1

Reorder the terms:
7r + -16r + 2s + 16s = 1

Combine like terms: 7r + -16r = -9r
-9r + 2s + 16s = 1

Combine like terms: 2s + 16s = 18s
-9r + 18s = 1

Solving
-9r + 18s = 1

Solving for variable 'r'.

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

Add '-18s' to each side of the equation.
-9r + 18s + -18s = 1 + -18s

Combine like terms: 18s + -18s = 0
-9r + 0 = 1 + -18s
-9r = 1 + -18s

Divide each side by '-9'.
r = -0.1111111111 + 2s

Simplifying
r = -0.1111111111 + 2s