Final answer:
To solve the equation 4(3w+2)=12(w-1)+20, distribute the 4 and simplify the equation. Combine like terms, and notice that the w term cancels out, leading to the solution set of all real numbers.
Step-by-step explanation:
To solve the given equation, we can start by distributing the 4 on the left side of the equation:
4(3w+2) = 12(w-1) + 20
12w + 8 = 12w - 12 + 20
Next, we can combine like terms on both sides of the equation:
12w + 8 = 12w + 8
Notice that the w term cancels out on both sides of the equation. This means that the solution set is all real numbers, as any value of w will satisfy the equation.