-r+2+8r+-8=5(1+6r)-7(r-3)

Solution for -r+2+8r+-8=5(1+6r)-7(r-3) equation:

Simplifying
-1r + 2 + 8r + -8 = 5(1 + 6r) + -7(r + -3)

Reorder the terms:
2 + -8 + -1r + 8r = 5(1 + 6r) + -7(r + -3)

Combine like terms: 2 + -8 = -6
-6 + -1r + 8r = 5(1 + 6r) + -7(r + -3)

Combine like terms: -1r + 8r = 7r
-6 + 7r = 5(1 + 6r) + -7(r + -3)
-6 + 7r = (1 * 5 + 6r * 5) + -7(r + -3)
-6 + 7r = (5 + 30r) + -7(r + -3)

Reorder the terms:
-6 + 7r = 5 + 30r + -7(-3 + r)
-6 + 7r = 5 + 30r + (-3 * -7 + r * -7)
-6 + 7r = 5 + 30r + (21 + -7r)

Reorder the terms:
-6 + 7r = 5 + 21 + 30r + -7r

Combine like terms: 5 + 21 = 26
-6 + 7r = 26 + 30r + -7r

Combine like terms: 30r + -7r = 23r
-6 + 7r = 26 + 23r

Solving
-6 + 7r = 26 + 23r

Solving for variable 'r'.

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

Add '-23r' to each side of the equation.
-6 + 7r + -23r = 26 + 23r + -23r

Combine like terms: 7r + -23r = -16r
-6 + -16r = 26 + 23r + -23r

Combine like terms: 23r + -23r = 0
-6 + -16r = 26 + 0
-6 + -16r = 26

Add '6' to each side of the equation.
-6 + 6 + -16r = 26 + 6

Combine like terms: -6 + 6 = 0
0 + -16r = 26 + 6
-16r = 26 + 6

Combine like terms: 26 + 6 = 32
-16r = 32

Divide each side by '-16'.
r = -2

Simplifying
r = -2