-3(-1+10r)+12(r+4)=-9r+8r

Solution for -3(-1+10r)+12(r+4)=-9r+8r equation:

Simplifying
-3(-1 + 10r) + 12(r + 4) = -9r + 8r
(-1 * -3 + 10r * -3) + 12(r + 4) = -9r + 8r
(3 + -30r) + 12(r + 4) = -9r + 8r

Reorder the terms:
3 + -30r + 12(4 + r) = -9r + 8r
3 + -30r + (4 * 12 + r * 12) = -9r + 8r
3 + -30r + (48 + 12r) = -9r + 8r

Reorder the terms:
3 + 48 + -30r + 12r = -9r + 8r

Combine like terms: 3 + 48 = 51
51 + -30r + 12r = -9r + 8r

Combine like terms: -30r + 12r = -18r
51 + -18r = -9r + 8r

Combine like terms: -9r + 8r = -1r
51 + -18r = -1r

Solving
51 + -18r = -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
51 + -18r + r = -1r + r

Combine like terms: -18r + r = -17r
51 + -17r = -1r + r

Combine like terms: -1r + r = 0
51 + -17r = 0

Add '-51' to each side of the equation.
51 + -51 + -17r = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -17r = 0 + -51
-17r = 0 + -51

Combine like terms: 0 + -51 = -51
-17r = -51

Divide each side by '-17'.
r = 3

Simplifying
r = 3