42=3(4r+2)

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

Simplifying
42 = 3(4r + 2)

Reorder the terms:
42 = 3(2 + 4r)
42 = (2 * 3 + 4r * 3)
42 = (6 + 12r)

Solving
42 = 6 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
42 + -12r = 6 + 12r + -12r

Combine like terms: 12r + -12r = 0
42 + -12r = 6 + 0
42 + -12r = 6

Add '-42' to each side of the equation.
42 + -42 + -12r = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -12r = 6 + -42
-12r = 6 + -42

Combine like terms: 6 + -42 = -36
-12r = -36

Divide each side by '-12'.
r = 3

Simplifying
r = 3