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

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

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

Reorder the terms:
-2r + 6(-1 + r) + 3r + -1(4 + -1r) = -1(r + 5) + -5
-2r + (-1 * 6 + r * 6) + 3r + -1(4 + -1r) = -1(r + 5) + -5
-2r + (-6 + 6r) + 3r + -1(4 + -1r) = -1(r + 5) + -5
-2r + -6 + 6r + 3r + (4 * -1 + -1r * -1) = -1(r + 5) + -5
-2r + -6 + 6r + 3r + (-4 + 1r) = -1(r + 5) + -5

Reorder the terms:
-6 + -4 + -2r + 6r + 3r + 1r = -1(r + 5) + -5

Combine like terms: -6 + -4 = -10
-10 + -2r + 6r + 3r + 1r = -1(r + 5) + -5

Combine like terms: -2r + 6r = 4r
-10 + 4r + 3r + 1r = -1(r + 5) + -5

Combine like terms: 4r + 3r = 7r
-10 + 7r + 1r = -1(r + 5) + -5

Combine like terms: 7r + 1r = 8r
-10 + 8r = -1(r + 5) + -5

Reorder the terms:
-10 + 8r = -1(5 + r) + -5
-10 + 8r = (5 * -1 + r * -1) + -5
-10 + 8r = (-5 + -1r) + -5

Reorder the terms:
-10 + 8r = -5 + -5 + -1r

Combine like terms: -5 + -5 = -10
-10 + 8r = -10 + -1r

Add '10' to each side of the equation.
-10 + 10 + 8r = -10 + 10 + -1r

Combine like terms: -10 + 10 = 0
0 + 8r = -10 + 10 + -1r
8r = -10 + 10 + -1r

Combine like terms: -10 + 10 = 0
8r = 0 + -1r
8r = -1r

Solving
8r = -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.
8r + r = -1r + r

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

Combine like terms: -1r + r = 0
9r = 0

Divide each side by '9'.
r = 0

Simplifying
r = 0