7r-(6-r)=-22

Solution for 7r-(6-r)=-22 equation:

Simplifying
7r + -1(6 + -1r) = -22
7r + (6 * -1 + -1r * -1) = -22
7r + (-6 + 1r) = -22

Reorder the terms:
-6 + 7r + 1r = -22

Combine like terms: 7r + 1r = 8r
-6 + 8r = -22

Solving
-6 + 8r = -22

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + 8r = -22 + 6

Combine like terms: -6 + 6 = 0
0 + 8r = -22 + 6
8r = -22 + 6

Combine like terms: -22 + 6 = -16
8r = -16

Divide each side by '8'.
r = -2

Simplifying
r = -2