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

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

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

Reorder the terms:
-3(-1 + r) = -3(1 + 3r)
(-1 * -3 + r * -3) = -3(1 + 3r)
(3 + -3r) = -3(1 + 3r)
3 + -3r = (1 * -3 + 3r * -3)
3 + -3r = (-3 + -9r)

Solving
3 + -3r = -3 + -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.
3 + -3r + 9r = -3 + -9r + 9r

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

Combine like terms: -9r + 9r = 0
3 + 6r = -3 + 0
3 + 6r = -3

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

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

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

Divide each side by '6'.
r = -1

Simplifying
r = -1