r+6=3(r-3)

Solution for r+6=3(r-3) equation:

Simplifying
r + 6 = 3(r + -3)

Reorder the terms:
6 + r = 3(r + -3)

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

Solving
6 + r = -9 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
6 + r + -3r = -9 + 3r + -3r

Combine like terms: r + -3r = -2r
6 + -2r = -9 + 3r + -3r

Combine like terms: 3r + -3r = 0
6 + -2r = -9 + 0
6 + -2r = -9

Add '-6' to each side of the equation.
6 + -6 + -2r = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = -9 + -6
-2r = -9 + -6

Combine like terms: -9 + -6 = -15
-2r = -15

Divide each side by '-2'.
r = 7.5

Simplifying
r = 7.5