2r+6(r+7)=82

Solution for 2r+6(r+7)=82 equation:

Simplifying
2r + 6(r + 7) = 82

Reorder the terms:
2r + 6(7 + r) = 82
2r + (7 * 6 + r * 6) = 82
2r + (42 + 6r) = 82

Reorder the terms:
42 + 2r + 6r = 82

Combine like terms: 2r + 6r = 8r
42 + 8r = 82

Solving
42 + 8r = 82

Solving for variable 'r'.

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

Add '-42' to each side of the equation.
42 + -42 + 8r = 82 + -42

Combine like terms: 42 + -42 = 0
0 + 8r = 82 + -42
8r = 82 + -42

Combine like terms: 82 + -42 = 40
8r = 40

Divide each side by '8'.
r = 5

Simplifying
r = 5