3(r+1)-2(3-2r)-3(3r)=2(r+5)-4

Solution for 3(r+1)-2(3-2r)-3(3r)=2(r+5)-4 equation:

Simplifying
3(r + 1) + -2(3 + -2r) + -3(3r) = 2(r + 5) + -4

Reorder the terms:
3(1 + r) + -2(3 + -2r) + -3(3r) = 2(r + 5) + -4
(1 * 3 + r * 3) + -2(3 + -2r) + -3(3r) = 2(r + 5) + -4
(3 + 3r) + -2(3 + -2r) + -3(3r) = 2(r + 5) + -4
3 + 3r + (3 * -2 + -2r * -2) + -3(3r) = 2(r + 5) + -4
3 + 3r + (-6 + 4r) + -3(3r) = 2(r + 5) + -4

Remove parenthesis around (3r)
3 + 3r + -6 + 4r + -3 * 3r = 2(r + 5) + -4

Multiply -3 * 3
3 + 3r + -6 + 4r + -9r = 2(r + 5) + -4

Reorder the terms:
3 + -6 + 3r + 4r + -9r = 2(r + 5) + -4

Combine like terms: 3 + -6 = -3
-3 + 3r + 4r + -9r = 2(r + 5) + -4

Combine like terms: 3r + 4r = 7r
-3 + 7r + -9r = 2(r + 5) + -4

Combine like terms: 7r + -9r = -2r
-3 + -2r = 2(r + 5) + -4

Reorder the terms:
-3 + -2r = 2(5 + r) + -4
-3 + -2r = (5 * 2 + r * 2) + -4
-3 + -2r = (10 + 2r) + -4

Reorder the terms:
-3 + -2r = 10 + -4 + 2r

Combine like terms: 10 + -4 = 6
-3 + -2r = 6 + 2r

Solving
-3 + -2r = 6 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-3 + -2r + -2r = 6 + 2r + -2r

Combine like terms: -2r + -2r = -4r
-3 + -4r = 6 + 2r + -2r

Combine like terms: 2r + -2r = 0
-3 + -4r = 6 + 0
-3 + -4r = 6

Add '3' to each side of the equation.
-3 + 3 + -4r = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -4r = 6 + 3
-4r = 6 + 3

Combine like terms: 6 + 3 = 9
-4r = 9

Divide each side by '-4'.
r = -2.25

Simplifying
r = -2.25