f(a+3)=4(a+3)+6

Solution for f(a+3)=4(a+3)+6 equation:

Simplifying
f(a + 3) = 4(a + 3) + 6

Reorder the terms:
f(3 + a) = 4(a + 3) + 6
(3 * f + a * f) = 4(a + 3) + 6

Reorder the terms:
(af + 3f) = 4(a + 3) + 6
(af + 3f) = 4(a + 3) + 6

Reorder the terms:
af + 3f = 4(3 + a) + 6
af + 3f = (3 * 4 + a * 4) + 6
af + 3f = (12 + 4a) + 6

Reorder the terms:
af + 3f = 12 + 6 + 4a

Combine like terms: 12 + 6 = 18
af + 3f = 18 + 4a

Solving
af + 3f = 18 + 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.
af + -4a + 3f = 18 + 4a + -4a

Reorder the terms:
-4a + af + 3f = 18 + 4a + -4a

Combine like terms: 4a + -4a = 0
-4a + af + 3f = 18 + 0
-4a + af + 3f = 18

Add '-3f' to each side of the equation.
-4a + af + 3f + -3f = 18 + -3f

Combine like terms: 3f + -3f = 0
-4a + af + 0 = 18 + -3f
-4a + af = 18 + -3f

Reorder the terms:
-18 + -4a + af + 3f = 18 + -3f + -18 + 3f

Reorder the terms:
-18 + -4a + af + 3f = 18 + -18 + -3f + 3f

Combine like terms: 18 + -18 = 0
-18 + -4a + af + 3f = 0 + -3f + 3f
-18 + -4a + af + 3f = -3f + 3f

Combine like terms: -3f + 3f = 0
-18 + -4a + af + 3f = 0

The solution to this equation could not be determined.