-(r-4)-5(r-7)=4r+6+6r+1

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

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

Reorder the terms:
-1(-4 + r) + -5(r + -7) = 4r + 6 + 6r + 1
(-4 * -1 + r * -1) + -5(r + -7) = 4r + 6 + 6r + 1
(4 + -1r) + -5(r + -7) = 4r + 6 + 6r + 1

Reorder the terms:
4 + -1r + -5(-7 + r) = 4r + 6 + 6r + 1
4 + -1r + (-7 * -5 + r * -5) = 4r + 6 + 6r + 1
4 + -1r + (35 + -5r) = 4r + 6 + 6r + 1

Reorder the terms:
4 + 35 + -1r + -5r = 4r + 6 + 6r + 1

Combine like terms: 4 + 35 = 39
39 + -1r + -5r = 4r + 6 + 6r + 1

Combine like terms: -1r + -5r = -6r
39 + -6r = 4r + 6 + 6r + 1

Reorder the terms:
39 + -6r = 6 + 1 + 4r + 6r

Combine like terms: 6 + 1 = 7
39 + -6r = 7 + 4r + 6r

Combine like terms: 4r + 6r = 10r
39 + -6r = 7 + 10r

Solving
39 + -6r = 7 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
39 + -6r + -10r = 7 + 10r + -10r

Combine like terms: -6r + -10r = -16r
39 + -16r = 7 + 10r + -10r

Combine like terms: 10r + -10r = 0
39 + -16r = 7 + 0
39 + -16r = 7

Add '-39' to each side of the equation.
39 + -39 + -16r = 7 + -39

Combine like terms: 39 + -39 = 0
0 + -16r = 7 + -39
-16r = 7 + -39

Combine like terms: 7 + -39 = -32
-16r = -32

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

Simplifying
r = 2