3(a+3)=4a

Solution for 3(a+3)=4a equation:

Simplifying
3(a + 3) = 4a

Reorder the terms:
3(3 + a) = 4a
(3 * 3 + a * 3) = 4a
(9 + 3a) = 4a

Solving
9 + 3a = 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
9 + 3a + -4a = 4a + -4a

Combine like terms: 3a + -4a = -1a
9 + -1a = 4a + -4a

Combine like terms: 4a + -4a = 0
9 + -1a = 0

Add '-9' to each side of the equation.
9 + -9 + -1a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1a = 0 + -9
-1a = 0 + -9

Combine like terms: 0 + -9 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9