6(r+7)=35+5r

Solution for 6(r+7)=35+5r equation:

Simplifying
6(r + 7) = 35 + 5r

Reorder the terms:
6(7 + r) = 35 + 5r
(7 * 6 + r * 6) = 35 + 5r
(42 + 6r) = 35 + 5r

Solving
42 + 6r = 35 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
42 + 6r + -5r = 35 + 5r + -5r

Combine like terms: 6r + -5r = 1r
42 + 1r = 35 + 5r + -5r

Combine like terms: 5r + -5r = 0
42 + 1r = 35 + 0
42 + 1r = 35

Add '-42' to each side of the equation.
42 + -42 + 1r = 35 + -42

Combine like terms: 42 + -42 = 0
0 + 1r = 35 + -42
1r = 35 + -42

Combine like terms: 35 + -42 = -7
1r = -7

Divide each side by '1'.
r = -7

Simplifying
r = -7