19+5r=4r+6(-1+r)

Solution for 19+5r=4r+6(-1+r) equation:

Simplifying
19 + 5r = 4r + 6(-1 + r)
19 + 5r = 4r + (-1 * 6 + r * 6)
19 + 5r = 4r + (-6 + 6r)

Reorder the terms:
19 + 5r = -6 + 4r + 6r

Combine like terms: 4r + 6r = 10r
19 + 5r = -6 + 10r

Solving
19 + 5r = -6 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
19 + 5r + -10r = -6 + 10r + -10r

Combine like terms: 5r + -10r = -5r
19 + -5r = -6 + 10r + -10r

Combine like terms: 10r + -10r = 0
19 + -5r = -6 + 0
19 + -5r = -6

Add '-19' to each side of the equation.
19 + -19 + -5r = -6 + -19

Combine like terms: 19 + -19 = 0
0 + -5r = -6 + -19
-5r = -6 + -19

Combine like terms: -6 + -19 = -25
-5r = -25

Divide each side by '-5'.
r = 5

Simplifying
r = 5