7+14r-1=6r+42-4r

Solution for 7+14r-1=6r+42-4r equation:

Simplifying
7 + 14r + -1 = 6r + 42 + -4r

Reorder the terms:
7 + -1 + 14r = 6r + 42 + -4r

Combine like terms: 7 + -1 = 6
6 + 14r = 6r + 42 + -4r

Reorder the terms:
6 + 14r = 42 + 6r + -4r

Combine like terms: 6r + -4r = 2r
6 + 14r = 42 + 2r

Solving
6 + 14r = 42 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
6 + 14r + -2r = 42 + 2r + -2r

Combine like terms: 14r + -2r = 12r
6 + 12r = 42 + 2r + -2r

Combine like terms: 2r + -2r = 0
6 + 12r = 42 + 0
6 + 12r = 42

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

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

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

Divide each side by '12'.
r = 3

Simplifying
r = 3