9r-(3-4r)=3(3r-2)+4(1-r)

Solution for 9r-(3-4r)=3(3r-2)+4(1-r) equation:

Simplifying
9r + -1(3 + -4r) = 3(3r + -2) + 4(1 + -1r)
9r + (3 * -1 + -4r * -1) = 3(3r + -2) + 4(1 + -1r)
9r + (-3 + 4r) = 3(3r + -2) + 4(1 + -1r)

Reorder the terms:
-3 + 9r + 4r = 3(3r + -2) + 4(1 + -1r)

Combine like terms: 9r + 4r = 13r
-3 + 13r = 3(3r + -2) + 4(1 + -1r)

Reorder the terms:
-3 + 13r = 3(-2 + 3r) + 4(1 + -1r)
-3 + 13r = (-2 * 3 + 3r * 3) + 4(1 + -1r)
-3 + 13r = (-6 + 9r) + 4(1 + -1r)
-3 + 13r = -6 + 9r + (1 * 4 + -1r * 4)
-3 + 13r = -6 + 9r + (4 + -4r)

Reorder the terms:
-3 + 13r = -6 + 4 + 9r + -4r

Combine like terms: -6 + 4 = -2
-3 + 13r = -2 + 9r + -4r

Combine like terms: 9r + -4r = 5r
-3 + 13r = -2 + 5r

Solving
-3 + 13r = -2 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-3 + 13r + -5r = -2 + 5r + -5r

Combine like terms: 13r + -5r = 8r
-3 + 8r = -2 + 5r + -5r

Combine like terms: 5r + -5r = 0
-3 + 8r = -2 + 0
-3 + 8r = -2

Add '3' to each side of the equation.
-3 + 3 + 8r = -2 + 3

Combine like terms: -3 + 3 = 0
0 + 8r = -2 + 3
8r = -2 + 3

Combine like terms: -2 + 3 = 1
8r = 1

Divide each side by '8'.
r = 0.125

Simplifying
r = 0.125