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

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

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

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

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

Solving
6 + 3r = -4 + 4r

Solving for variable 'r'.

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

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

Combine like terms: 3r + -4r = -1r
6 + -1r = -4 + 4r + -4r

Combine like terms: 4r + -4r = 0
6 + -1r = -4 + 0
6 + -1r = -4

Add '-6' to each side of the equation.
6 + -6 + -1r = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = -4 + -6
-1r = -4 + -6

Combine like terms: -4 + -6 = -10
-1r = -10

Divide each side by '-1'.
r = 10

Simplifying
r = 10