-3(4r+9)+2(3r+8)=r-1(9r-5)

Solution for -3(4r+9)+2(3r+8)=r-1(9r-5) equation:

Simplifying
-3(4r + 9) + 2(3r + 8) = r + -1(9r + -5)

Reorder the terms:
-3(9 + 4r) + 2(3r + 8) = r + -1(9r + -5)
(9 * -3 + 4r * -3) + 2(3r + 8) = r + -1(9r + -5)
(-27 + -12r) + 2(3r + 8) = r + -1(9r + -5)

Reorder the terms:
-27 + -12r + 2(8 + 3r) = r + -1(9r + -5)
-27 + -12r + (8 * 2 + 3r * 2) = r + -1(9r + -5)
-27 + -12r + (16 + 6r) = r + -1(9r + -5)

Reorder the terms:
-27 + 16 + -12r + 6r = r + -1(9r + -5)

Combine like terms: -27 + 16 = -11
-11 + -12r + 6r = r + -1(9r + -5)

Combine like terms: -12r + 6r = -6r
-11 + -6r = r + -1(9r + -5)

Reorder the terms:
-11 + -6r = r + -1(-5 + 9r)
-11 + -6r = r + (-5 * -1 + 9r * -1)
-11 + -6r = r + (5 + -9r)

Reorder the terms:
-11 + -6r = 5 + r + -9r

Combine like terms: r + -9r = -8r
-11 + -6r = 5 + -8r

Solving
-11 + -6r = 5 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
-11 + -6r + 8r = 5 + -8r + 8r

Combine like terms: -6r + 8r = 2r
-11 + 2r = 5 + -8r + 8r

Combine like terms: -8r + 8r = 0
-11 + 2r = 5 + 0
-11 + 2r = 5

Add '11' to each side of the equation.
-11 + 11 + 2r = 5 + 11

Combine like terms: -11 + 11 = 0
0 + 2r = 5 + 11
2r = 5 + 11

Combine like terms: 5 + 11 = 16
2r = 16

Divide each side by '2'.
r = 8

Simplifying
r = 8