6r-5r=3(r-8)+6(-4+r)

Solution for 6r-5r=3(r-8)+6(-4+r) equation:

Simplifying
6r + -5r = 3(r + -8) + 6(-4 + r)

Combine like terms: 6r + -5r = 1r
1r = 3(r + -8) + 6(-4 + r)

Reorder the terms:
1r = 3(-8 + r) + 6(-4 + r)
1r = (-8 * 3 + r * 3) + 6(-4 + r)
1r = (-24 + 3r) + 6(-4 + r)
1r = -24 + 3r + (-4 * 6 + r * 6)
1r = -24 + 3r + (-24 + 6r)

Reorder the terms:
1r = -24 + -24 + 3r + 6r

Combine like terms: -24 + -24 = -48
1r = -48 + 3r + 6r

Combine like terms: 3r + 6r = 9r
1r = -48 + 9r

Solving
1r = -48 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
1r + -9r = -48 + 9r + -9r

Combine like terms: 1r + -9r = -8r
-8r = -48 + 9r + -9r

Combine like terms: 9r + -9r = 0
-8r = -48 + 0
-8r = -48

Divide each side by '-8'.
r = 6

Simplifying
r = 6