2r+2(r+3)=214

Solution for 2r+2(r+3)=214 equation:

Simplifying
2r + 2(r + 3) = 214

Reorder the terms:
2r + 2(3 + r) = 214
2r + (3 * 2 + r * 2) = 214
2r + (6 + 2r) = 214

Reorder the terms:
6 + 2r + 2r = 214

Combine like terms: 2r + 2r = 4r
6 + 4r = 214

Solving
6 + 4r = 214

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 + 4r = 214 + -6

Combine like terms: 6 + -6 = 0
0 + 4r = 214 + -6
4r = 214 + -6

Combine like terms: 214 + -6 = 208
4r = 208

Divide each side by '4'.
r = 52

Simplifying
r = 52