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

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

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

Reorder the terms:
4(-2 + r) + -3(r + -1) = 3(a + -1)
(-2 * 4 + r * 4) + -3(r + -1) = 3(a + -1)
(-8 + 4r) + -3(r + -1) = 3(a + -1)

Reorder the terms:
-8 + 4r + -3(-1 + r) = 3(a + -1)
-8 + 4r + (-1 * -3 + r * -3) = 3(a + -1)
-8 + 4r + (3 + -3r) = 3(a + -1)

Reorder the terms:
-8 + 3 + 4r + -3r = 3(a + -1)

Combine like terms: -8 + 3 = -5
-5 + 4r + -3r = 3(a + -1)

Combine like terms: 4r + -3r = 1r
-5 + 1r = 3(a + -1)

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

Solving
-5 + 1r = -3 + 3a

Solving for variable 'r'.

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

Add '5' to each side of the equation.
-5 + 5 + 1r = -3 + 5 + 3a

Combine like terms: -5 + 5 = 0
0 + 1r = -3 + 5 + 3a
1r = -3 + 5 + 3a

Combine like terms: -3 + 5 = 2
1r = 2 + 3a

Divide each side by '1'.
r = 2 + 3a

Simplifying
r = 2 + 3a