Question

\\-6(6y - 1) = -102\\
\\4(3n + 3) + 2 = 50\\
\\2(4 - m) + 4m = -(2 + 3m)\\
\\4(3 - 2x) + 2 = -6(x + 1)\\

Explanation:

Expand all parentheses

Using the Distributive Property in Equations knowledge point

$$
LATEXBLOCK0
$$

Combine like terms

Using the Combining Like Terms knowledge point

$$
LATEXBLOCK1
$$

Move variables to one side

Using the Variables on Both Sides knowledge point

$$
LATEXBLOCK2
$$

Isolate the variables

Using the Algebraic Isolation knowledge point

$$
LATEXBLOCK3
$$

Answer:

Question 1

$$-6(6y - 1) = -102$$

The solution is:

$$y = 3$$

Question 2

$$4(3n + 3) + 2 = 50$$

The solution is:

$$n = 3$$

Question 3

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

The solution is:

$$m = -2$$

Question 4

$$4(3 - 2x) + 2 = -6(x + 1)$$

The solution is:

$$x = 10$$