6(r+7)-7r=-1+2(2r-1)

Solution for 6(r+7)-7r=-1+2(2r-1) equation:

Simplifying
6(r + 7) + -7r = -1 + 2(2r + -1)

Reorder the terms:
6(7 + r) + -7r = -1 + 2(2r + -1)
(7 * 6 + r * 6) + -7r = -1 + 2(2r + -1)
(42 + 6r) + -7r = -1 + 2(2r + -1)

Combine like terms: 6r + -7r = -1r
42 + -1r = -1 + 2(2r + -1)

Reorder the terms:
42 + -1r = -1 + 2(-1 + 2r)
42 + -1r = -1 + (-1 * 2 + 2r * 2)
42 + -1r = -1 + (-2 + 4r)

Combine like terms: -1 + -2 = -3
42 + -1r = -3 + 4r

Solving
42 + -1r = -3 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
42 + -1r + -4r = -3 + 4r + -4r

Combine like terms: -1r + -4r = -5r
42 + -5r = -3 + 4r + -4r

Combine like terms: 4r + -4r = 0
42 + -5r = -3 + 0
42 + -5r = -3

Add '-42' to each side of the equation.
42 + -42 + -5r = -3 + -42

Combine like terms: 42 + -42 = 0
0 + -5r = -3 + -42
-5r = -3 + -42

Combine like terms: -3 + -42 = -45
-5r = -45

Divide each side by '-5'.
r = 9

Simplifying
r = 9