3+14r-1=9r+42-5r

Solution for 3+14r-1=9r+42-5r equation:

Simplifying
3 + 14r + -1 = 9r + 42 + -5r

Reorder the terms:
3 + -1 + 14r = 9r + 42 + -5r

Combine like terms: 3 + -1 = 2
2 + 14r = 9r + 42 + -5r

Reorder the terms:
2 + 14r = 42 + 9r + -5r

Combine like terms: 9r + -5r = 4r
2 + 14r = 42 + 4r

Solving
2 + 14r = 42 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
2 + 14r + -4r = 42 + 4r + -4r

Combine like terms: 14r + -4r = 10r
2 + 10r = 42 + 4r + -4r

Combine like terms: 4r + -4r = 0
2 + 10r = 42 + 0
2 + 10r = 42

Add '-2' to each side of the equation.
2 + -2 + 10r = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 10r = 42 + -2
10r = 42 + -2

Combine like terms: 42 + -2 = 40
10r = 40

Divide each side by '10'.
r = 4

Simplifying
r = 4