7r+3(2r+2)=r-9

Solution for 7r+3(2r+2)=r-9 equation:

Simplifying
7r + 3(2r + 2) = r + -9

Reorder the terms:
7r + 3(2 + 2r) = r + -9
7r + (2 * 3 + 2r * 3) = r + -9
7r + (6 + 6r) = r + -9

Reorder the terms:
6 + 7r + 6r = r + -9

Combine like terms: 7r + 6r = 13r
6 + 13r = r + -9

Reorder the terms:
6 + 13r = -9 + r

Solving
6 + 13r = -9 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
6 + 13r + -1r = -9 + r + -1r

Combine like terms: 13r + -1r = 12r
6 + 12r = -9 + r + -1r

Combine like terms: r + -1r = 0
6 + 12r = -9 + 0
6 + 12r = -9

Add '-6' to each side of the equation.
6 + -6 + 12r = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 12r = -9 + -6
12r = -9 + -6

Combine like terms: -9 + -6 = -15
12r = -15

Divide each side by '12'.
r = -1.25

Simplifying
r = -1.25