1-7r+2=4(r+6)-6(6+2r)

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

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

Reorder the terms:
1 + 2 + -7r = 4(r + 6) + -6(6 + 2r)

Combine like terms: 1 + 2 = 3
3 + -7r = 4(r + 6) + -6(6 + 2r)

Reorder the terms:
3 + -7r = 4(6 + r) + -6(6 + 2r)
3 + -7r = (6 * 4 + r * 4) + -6(6 + 2r)
3 + -7r = (24 + 4r) + -6(6 + 2r)
3 + -7r = 24 + 4r + (6 * -6 + 2r * -6)
3 + -7r = 24 + 4r + (-36 + -12r)

Reorder the terms:
3 + -7r = 24 + -36 + 4r + -12r

Combine like terms: 24 + -36 = -12
3 + -7r = -12 + 4r + -12r

Combine like terms: 4r + -12r = -8r
3 + -7r = -12 + -8r

Solving
3 + -7r = -12 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
3 + -7r + 8r = -12 + -8r + 8r

Combine like terms: -7r + 8r = 1r
3 + 1r = -12 + -8r + 8r

Combine like terms: -8r + 8r = 0
3 + 1r = -12 + 0
3 + 1r = -12

Add '-3' to each side of the equation.
3 + -3 + 1r = -12 + -3

Combine like terms: 3 + -3 = 0
0 + 1r = -12 + -3
1r = -12 + -3

Combine like terms: -12 + -3 = -15
1r = -15

Divide each side by '1'.
r = -15

Simplifying
r = -15