6(r-1)+r=2r+14

Solution for 6(r-1)+r=2r+14 equation:

Simplifying
6(r + -1) + r = 2r + 14

Reorder the terms:
6(-1 + r) + r = 2r + 14
(-1 * 6 + r * 6) + r = 2r + 14
(-6 + 6r) + r = 2r + 14

Combine like terms: 6r + r = 7r
-6 + 7r = 2r + 14

Reorder the terms:
-6 + 7r = 14 + 2r

Solving
-6 + 7r = 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.
-6 + 7r + -2r = 14 + 2r + -2r

Combine like terms: 7r + -2r = 5r
-6 + 5r = 14 + 2r + -2r

Combine like terms: 2r + -2r = 0
-6 + 5r = 14 + 0
-6 + 5r = 14

Add '6' to each side of the equation.
-6 + 6 + 5r = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 5r = 14 + 6
5r = 14 + 6

Combine like terms: 14 + 6 = 20
5r = 20

Divide each side by '5'.
r = 4

Simplifying
r = 4