3r+4(r-8)-r=-3(r+7)

Solution for 3r+4(r-8)-r=-3(r+7) equation:

Simplifying
3r + 4(r + -8) + -1r = -3(r + 7)

Reorder the terms:
3r + 4(-8 + r) + -1r = -3(r + 7)
3r + (-8 * 4 + r * 4) + -1r = -3(r + 7)
3r + (-32 + 4r) + -1r = -3(r + 7)

Reorder the terms:
-32 + 3r + 4r + -1r = -3(r + 7)

Combine like terms: 3r + 4r = 7r
-32 + 7r + -1r = -3(r + 7)

Combine like terms: 7r + -1r = 6r
-32 + 6r = -3(r + 7)

Reorder the terms:
-32 + 6r = -3(7 + r)
-32 + 6r = (7 * -3 + r * -3)
-32 + 6r = (-21 + -3r)

Solving
-32 + 6r = -21 + -3r

Solving for variable 'r'.

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

Add '3r' to each side of the equation.
-32 + 6r + 3r = -21 + -3r + 3r

Combine like terms: 6r + 3r = 9r
-32 + 9r = -21 + -3r + 3r

Combine like terms: -3r + 3r = 0
-32 + 9r = -21 + 0
-32 + 9r = -21

Add '32' to each side of the equation.
-32 + 32 + 9r = -21 + 32

Combine like terms: -32 + 32 = 0
0 + 9r = -21 + 32
9r = -21 + 32

Combine like terms: -21 + 32 = 11
9r = 11

Divide each side by '9'.
r = 1.222222222

Simplifying
r = 1.222222222