-19+2r=-3(2r+3)-6

Solution for -19+2r=-3(2r+3)-6 equation:

Simplifying
-19 + 2r = -3(2r + 3) + -6

Reorder the terms:
-19 + 2r = -3(3 + 2r) + -6
-19 + 2r = (3 * -3 + 2r * -3) + -6
-19 + 2r = (-9 + -6r) + -6

Reorder the terms:
-19 + 2r = -9 + -6 + -6r

Combine like terms: -9 + -6 = -15
-19 + 2r = -15 + -6r

Solving
-19 + 2r = -15 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
-19 + 2r + 6r = -15 + -6r + 6r

Combine like terms: 2r + 6r = 8r
-19 + 8r = -15 + -6r + 6r

Combine like terms: -6r + 6r = 0
-19 + 8r = -15 + 0
-19 + 8r = -15

Add '19' to each side of the equation.
-19 + 19 + 8r = -15 + 19

Combine like terms: -19 + 19 = 0
0 + 8r = -15 + 19
8r = -15 + 19

Combine like terms: -15 + 19 = 4
8r = 4

Divide each side by '8'.
r = 0.5

Simplifying
r = 0.5