-(r+6)=10+7r

Solution for -(r+6)=10+7r equation:

Simplifying
-1(r + 6) = 10 + 7r

Reorder the terms:
-1(6 + r) = 10 + 7r
(6 * -1 + r * -1) = 10 + 7r
(-6 + -1r) = 10 + 7r

Solving
-6 + -1r = 10 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
-6 + -1r + -7r = 10 + 7r + -7r

Combine like terms: -1r + -7r = -8r
-6 + -8r = 10 + 7r + -7r

Combine like terms: 7r + -7r = 0
-6 + -8r = 10 + 0
-6 + -8r = 10

Add '6' to each side of the equation.
-6 + 6 + -8r = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -8r = 10 + 6
-8r = 10 + 6

Combine like terms: 10 + 6 = 16
-8r = 16

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

Simplifying
r = -2