Question

Solve the following equation.
-12d - 6 = -2(d + 3) - 10d

Answer 1

This is true for any value of d. (d ∈ Set of All Real Numbers (I couldn't find the symbol))

Explanation:

1. Simplify both sides. You cannot simplify -12d - 6, but you can simplify -2(d + 3) - 10d. Use the distributive property to simplify this. It would be -2d + -2 * 3 -10d, which is equal to -12d - 6. If you simplify both sides, you would get that d=d, which would be true for all values of d, which means that d is equal to all real numbers, meaning that for any value for d, this would be true (d ∈ Set of All Real Numbers (I couldn't find the symbol)).

Answer 2

All real numbers

Explanation:

Distribute the -2 to the parentheses:

-12d - 6 = -2(d + 3) - 10d

-12d - 6 = -2d - 6 - 10d

Add like terms:

-12d - 6 = -12d - 6

Since each side is equivalent to -12d - 6, the answer is all real numbers