5r+6=-14r-13

Solution for 5r+6=-14r-13 equation:

Simplifying
5r + 6 = -14r + -13

Reorder the terms:
6 + 5r = -14r + -13

Reorder the terms:
6 + 5r = -13 + -14r

Solving
6 + 5r = -13 + -14r

Solving for variable 'r'.

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

Add '14r' to each side of the equation.
6 + 5r + 14r = -13 + -14r + 14r

Combine like terms: 5r + 14r = 19r
6 + 19r = -13 + -14r + 14r

Combine like terms: -14r + 14r = 0
6 + 19r = -13 + 0
6 + 19r = -13

Add '-6' to each side of the equation.
6 + -6 + 19r = -13 + -6

Combine like terms: 6 + -6 = 0
0 + 19r = -13 + -6
19r = -13 + -6

Combine like terms: -13 + -6 = -19
19r = -19

Divide each side by '19'.
r = -1

Simplifying
r = -1