Final answer:
To find the value of 'a' so that 'x = 3' is a solution to the equation 'x + 3a = 27 + ax - 6a', we substitute the value of 'x' into the equation and simplify to find that 'a = 4'.
Step-by-step explanation:
To find the value of a so that x = 3 is a solution to the equation x + 3a = 27 + ax - 6a, we substitute the value of x into the equation.
Substituting x = 3 into the equation, we get 3 + 3a = 27 + 3a - 6a.
Simplifying the equation, we have 3 + 3a = 27 - 3a. Combining like terms, 6a = 24. Dividing both sides by 6, we find a = 4.