4r+2(r+3)=42

Solution for 4r+2(r+3)=42 equation:

Simplifying
4r + 2(r + 3) = 42

Reorder the terms:
4r + 2(3 + r) = 42
4r + (3 * 2 + r * 2) = 42
4r + (6 + 2r) = 42

Reorder the terms:
6 + 4r + 2r = 42

Combine like terms: 4r + 2r = 6r
6 + 6r = 42

Solving
6 + 6r = 42

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 + 6r = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 6r = 42 + -6
6r = 42 + -6

Combine like terms: 42 + -6 = 36
6r = 36

Divide each side by '6'.
r = 6

Simplifying
r = 6