3(4r+9)-6r=3(1+4r)

Solution for 3(4r+9)-6r=3(1+4r) equation:

Simplifying
3(4r + 9) + -6r = 3(1 + 4r)

Reorder the terms:
3(9 + 4r) + -6r = 3(1 + 4r)
(9 * 3 + 4r * 3) + -6r = 3(1 + 4r)
(27 + 12r) + -6r = 3(1 + 4r)

Combine like terms: 12r + -6r = 6r
27 + 6r = 3(1 + 4r)
27 + 6r = (1 * 3 + 4r * 3)
27 + 6r = (3 + 12r)

Solving
27 + 6r = 3 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
27 + 6r + -12r = 3 + 12r + -12r

Combine like terms: 6r + -12r = -6r
27 + -6r = 3 + 12r + -12r

Combine like terms: 12r + -12r = 0
27 + -6r = 3 + 0
27 + -6r = 3

Add '-27' to each side of the equation.
27 + -27 + -6r = 3 + -27

Combine like terms: 27 + -27 = 0
0 + -6r = 3 + -27
-6r = 3 + -27

Combine like terms: 3 + -27 = -24
-6r = -24

Divide each side by '-6'.
r = 4

Simplifying
r = 4