5r-6r+27+3*5=r

Solution for 5r-6r+27+3*5=r equation:

Simplifying
5r + -6r + 27 + 3 * 5 = r

Multiply 3 * 5
5r + -6r + 27 + 15 = r

Reorder the terms:
27 + 15 + 5r + -6r = r

Combine like terms: 27 + 15 = 42
42 + 5r + -6r = r

Combine like terms: 5r + -6r = -1r
42 + -1r = r

Solving
42 + -1r = r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
42 + -1r + -1r = r + -1r

Combine like terms: -1r + -1r = -2r
42 + -2r = r + -1r

Combine like terms: r + -1r = 0
42 + -2r = 0

Add '-42' to each side of the equation.
42 + -42 + -2r = 0 + -42

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

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

Divide each side by '-2'.
r = 21

Simplifying
r = 21