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

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

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

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

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

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

Combine like terms: -42 + 6 = -36
-36 + 7r + -6r = 2(r + 7)

Combine like terms: 7r + -6r = 1r
-36 + 1r = 2(r + 7)

Reorder the terms:
-36 + 1r = 2(7 + r)
-36 + 1r = (7 * 2 + r * 2)
-36 + 1r = (14 + 2r)

Solving
-36 + 1r = 14 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-36 + 1r + -2r = 14 + 2r + -2r

Combine like terms: 1r + -2r = -1r
-36 + -1r = 14 + 2r + -2r

Combine like terms: 2r + -2r = 0
-36 + -1r = 14 + 0
-36 + -1r = 14

Add '36' to each side of the equation.
-36 + 36 + -1r = 14 + 36

Combine like terms: -36 + 36 = 0
0 + -1r = 14 + 36
-1r = 14 + 36

Combine like terms: 14 + 36 = 50
-1r = 50

Divide each side by '-1'.
r = -50

Simplifying
r = -50