Question

\\2(4 - m) + 4m = -(2 + 3m)\\

Explanation:

Apply the distributive property

Using the Distributive Property in Equations knowledge point

$$
LATEXBLOCK0
$$

Combine like terms on the left side

Using the Combining Like Terms knowledge point

$$
LATEXBLOCK1
$$

Move variable terms to one side

Using the Variables on Both Sides knowledge point

$$
LATEXBLOCK2
$$

Isolate the variable term

Using the Algebraic Isolation knowledge point

$$
LATEXBLOCK3
$$

Solve for m

Using the Algebraic Isolation knowledge point

$$
LATEXBLOCK4
$$

Answer:

\(m = -2\)