3r-4(r+6)=-63

Solution for 3r-4(r+6)=-63 equation:

Simplifying
3r + -4(r + 6) = -63

Reorder the terms:
3r + -4(6 + r) = -63
3r + (6 * -4 + r * -4) = -63
3r + (-24 + -4r) = -63

Reorder the terms:
-24 + 3r + -4r = -63

Combine like terms: 3r + -4r = -1r
-24 + -1r = -63

Solving
-24 + -1r = -63

Solving for variable 'r'.

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

Add '24' to each side of the equation.
-24 + 24 + -1r = -63 + 24

Combine like terms: -24 + 24 = 0
0 + -1r = -63 + 24
-1r = -63 + 24

Combine like terms: -63 + 24 = -39
-1r = -39

Divide each side by '-1'.
r = 39

Simplifying
r = 39