3(r-4)+6=-9

Solution for 3(r-4)+6=-9 equation:

Simplifying
3(r + -4) + 6 = -9

Reorder the terms:
3(-4 + r) + 6 = -9
(-4 * 3 + r * 3) + 6 = -9
(-12 + 3r) + 6 = -9

Reorder the terms:
-12 + 6 + 3r = -9

Combine like terms: -12 + 6 = -6
-6 + 3r = -9

Solving
-6 + 3r = -9

Solving for variable 'r'.

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

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

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

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

Divide each side by '3'.
r = -1

Simplifying
r = -1