8r-r=-3(2r-1)-3(r+1)

Solution for 8r-r=-3(2r-1)-3(r+1) equation:

Simplifying
8r + -1r = -3(2r + -1) + -3(r + 1)

Combine like terms: 8r + -1r = 7r
7r = -3(2r + -1) + -3(r + 1)

Reorder the terms:
7r = -3(-1 + 2r) + -3(r + 1)
7r = (-1 * -3 + 2r * -3) + -3(r + 1)
7r = (3 + -6r) + -3(r + 1)

Reorder the terms:
7r = 3 + -6r + -3(1 + r)
7r = 3 + -6r + (1 * -3 + r * -3)
7r = 3 + -6r + (-3 + -3r)

Reorder the terms:
7r = 3 + -3 + -6r + -3r

Combine like terms: 3 + -3 = 0
7r = 0 + -6r + -3r
7r = -6r + -3r

Combine like terms: -6r + -3r = -9r
7r = -9r

Solving
7r = -9r

Solving for variable 'r'.

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

Add '9r' to each side of the equation.
7r + 9r = -9r + 9r

Combine like terms: 7r + 9r = 16r
16r = -9r + 9r

Combine like terms: -9r + 9r = 0
16r = 0

Divide each side by '16'.
r = 0

Simplifying
r = 0