3(r+2)-5(r-8)=4+6+7r

Solution for 3(r+2)-5(r-8)=4+6+7r equation:

Simplifying
3(r + 2) + -5(r + -8) = 4 + 6 + 7r

Reorder the terms:
3(2 + r) + -5(r + -8) = 4 + 6 + 7r
(2 * 3 + r * 3) + -5(r + -8) = 4 + 6 + 7r
(6 + 3r) + -5(r + -8) = 4 + 6 + 7r

Reorder the terms:
6 + 3r + -5(-8 + r) = 4 + 6 + 7r
6 + 3r + (-8 * -5 + r * -5) = 4 + 6 + 7r
6 + 3r + (40 + -5r) = 4 + 6 + 7r

Reorder the terms:
6 + 40 + 3r + -5r = 4 + 6 + 7r

Combine like terms: 6 + 40 = 46
46 + 3r + -5r = 4 + 6 + 7r

Combine like terms: 3r + -5r = -2r
46 + -2r = 4 + 6 + 7r

Combine like terms: 4 + 6 = 10
46 + -2r = 10 + 7r

Solving
46 + -2r = 10 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
46 + -2r + -7r = 10 + 7r + -7r

Combine like terms: -2r + -7r = -9r
46 + -9r = 10 + 7r + -7r

Combine like terms: 7r + -7r = 0
46 + -9r = 10 + 0
46 + -9r = 10

Add '-46' to each side of the equation.
46 + -46 + -9r = 10 + -46

Combine like terms: 46 + -46 = 0
0 + -9r = 10 + -46
-9r = 10 + -46

Combine like terms: 10 + -46 = -36
-9r = -36

Divide each side by '-9'.
r = 4

Simplifying
r = 4