6+15r-3=7r+43-2r

Solution for 6+15r-3=7r+43-2r equation:

Simplifying
6 + 15r + -3 = 7r + 43 + -2r

Reorder the terms:
6 + -3 + 15r = 7r + 43 + -2r

Combine like terms: 6 + -3 = 3
3 + 15r = 7r + 43 + -2r

Reorder the terms:
3 + 15r = 43 + 7r + -2r

Combine like terms: 7r + -2r = 5r
3 + 15r = 43 + 5r

Solving
3 + 15r = 43 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
3 + 15r + -5r = 43 + 5r + -5r

Combine like terms: 15r + -5r = 10r
3 + 10r = 43 + 5r + -5r

Combine like terms: 5r + -5r = 0
3 + 10r = 43 + 0
3 + 10r = 43

Add '-3' to each side of the equation.
3 + -3 + 10r = 43 + -3

Combine like terms: 3 + -3 = 0
0 + 10r = 43 + -3
10r = 43 + -3

Combine like terms: 43 + -3 = 40
10r = 40

Divide each side by '10'.
r = 4

Simplifying
r = 4