-7(r+6)+12(3-4r)=1-2r+5r-7

Solution for -7(r+6)+12(3-4r)=1-2r+5r-7 equation:

Simplifying
-7(r + 6) + 12(3 + -4r) = 1 + -2r + 5r + -7

Reorder the terms:
-7(6 + r) + 12(3 + -4r) = 1 + -2r + 5r + -7
(6 * -7 + r * -7) + 12(3 + -4r) = 1 + -2r + 5r + -7
(-42 + -7r) + 12(3 + -4r) = 1 + -2r + 5r + -7
-42 + -7r + (3 * 12 + -4r * 12) = 1 + -2r + 5r + -7
-42 + -7r + (36 + -48r) = 1 + -2r + 5r + -7

Reorder the terms:
-42 + 36 + -7r + -48r = 1 + -2r + 5r + -7

Combine like terms: -42 + 36 = -6
-6 + -7r + -48r = 1 + -2r + 5r + -7

Combine like terms: -7r + -48r = -55r
-6 + -55r = 1 + -2r + 5r + -7

Reorder the terms:
-6 + -55r = 1 + -7 + -2r + 5r

Combine like terms: 1 + -7 = -6
-6 + -55r = -6 + -2r + 5r

Combine like terms: -2r + 5r = 3r
-6 + -55r = -6 + 3r

Add '6' to each side of the equation.
-6 + 6 + -55r = -6 + 6 + 3r

Combine like terms: -6 + 6 = 0
0 + -55r = -6 + 6 + 3r
-55r = -6 + 6 + 3r

Combine like terms: -6 + 6 = 0
-55r = 0 + 3r
-55r = 3r

Solving
-55r = 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-55r + -3r = 3r + -3r

Combine like terms: -55r + -3r = -58r
-58r = 3r + -3r

Combine like terms: 3r + -3r = 0
-58r = 0

Divide each side by '-58'.
r = 0

Simplifying
r = 0