-3(r+5)=3(r-1)

Solution for -3(r+5)=3(r-1) equation:

Simplifying
-3(r + 5) = 3(r + -1)

Reorder the terms:
-3(5 + r) = 3(r + -1)
(5 * -3 + r * -3) = 3(r + -1)
(-15 + -3r) = 3(r + -1)

Reorder the terms:
-15 + -3r = 3(-1 + r)
-15 + -3r = (-1 * 3 + r * 3)
-15 + -3r = (-3 + 3r)

Solving
-15 + -3r = -3 + 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.
-15 + -3r + -3r = -3 + 3r + -3r

Combine like terms: -3r + -3r = -6r
-15 + -6r = -3 + 3r + -3r

Combine like terms: 3r + -3r = 0
-15 + -6r = -3 + 0
-15 + -6r = -3

Add '15' to each side of the equation.
-15 + 15 + -6r = -3 + 15

Combine like terms: -15 + 15 = 0
0 + -6r = -3 + 15
-6r = -3 + 15

Combine like terms: -3 + 15 = 12
-6r = 12

Divide each side by '-6'.
r = -2

Simplifying
r = -2