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

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

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

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

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

Combine like terms: 6 + -3 = 3
3 + 3r + -1[3 + -3 + -4r + 1r] = 2(r + 5) + -4

Combine like terms: 3 + -3 = 0
3 + 3r + -1[0 + -4r + 1r] = 2(r + 5) + -4
3 + 3r + -1[-4r + 1r] = 2(r + 5) + -4

Combine like terms: -4r + 1r = -3r
3 + 3r + -1[-3r] = 2(r + 5) + -4

Remove brackets around [-3r]
3 + 3r + -1 * -3r = 2(r + 5) + -4

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

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

Reorder the terms:
3 + 6r = 2(5 + r) + -4
3 + 6r = (5 * 2 + r * 2) + -4
3 + 6r = (10 + 2r) + -4

Reorder the terms:
3 + 6r = 10 + -4 + 2r

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

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

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

Divide each side by '4'.
r = 0.75

Simplifying
r = 0.75