6(1+7r)=-28+8r

Solution for 6(1+7r)=-28+8r equation:

Simplifying
6(1 + 7r) = -28 + 8r
(1 * 6 + 7r * 6) = -28 + 8r
(6 + 42r) = -28 + 8r

Solving
6 + 42r = -28 + 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.
6 + 42r + -8r = -28 + 8r + -8r

Combine like terms: 42r + -8r = 34r
6 + 34r = -28 + 8r + -8r

Combine like terms: 8r + -8r = 0
6 + 34r = -28 + 0
6 + 34r = -28

Add '-6' to each side of the equation.
6 + -6 + 34r = -28 + -6

Combine like terms: 6 + -6 = 0
0 + 34r = -28 + -6
34r = -28 + -6

Combine like terms: -28 + -6 = -34
34r = -34

Divide each side by '34'.
r = -1

Simplifying
r = -1