r+6=1+3r-4r-3

Solution for r+6=1+3r-4r-3 equation:

Simplifying
r + 6 = 1 + 3r + -4r + -3

Reorder the terms:
6 + r = 1 + 3r + -4r + -3

Reorder the terms:
6 + r = 1 + -3 + 3r + -4r

Combine like terms: 1 + -3 = -2
6 + r = -2 + 3r + -4r

Combine like terms: 3r + -4r = -1r
6 + r = -2 + -1r

Solving
6 + r = -2 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
6 + r + r = -2 + -1r + r

Combine like terms: r + r = 2r
6 + 2r = -2 + -1r + r

Combine like terms: -1r + r = 0
6 + 2r = -2 + 0
6 + 2r = -2

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

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

Combine like terms: -2 + -6 = -8
2r = -8

Divide each side by '2'.
r = -4

Simplifying
r = -4