What is the solution of the equation -4 (z + 12) = 36 when solving for z
To solve the equation -4(z + 12) = 36 for z, we can start by distributing the -4 to the terms inside the parentheses:
-4z - 48 = 36
Next, we can isolate the variable z by adding 48 to both sides of the equation:
-4z - 48 + 48 = 36 + 48
-4z = 84
Finally, we divide both sides of the equation by -4 to solve for z:
-4z / -4 = 84 / -4
z = -21
Therefore, the solution to the equation -4(z + 12) = 36 is z = -21.
To solve the equation -4(z + 12) = 36 for z, you need to isolate z on one side of the equation. Here's how you can do it step by step:
1. Start by distributing -4 to z + 12:
-4 * z - 4 * 12 = 36
-4z - 48 = 36
2. Next, move -48 to the other side of the equation by adding 48 to both sides:
-4z - 48 + 48 = 36 + 48
-4z = 84
3. Now, to further isolate z, divide both sides of the equation by -4 (since -4 is multiplied with z):
(-4z) / (-4) = 84 / (-4)
z = -21
So, the solution to the equation -4(z + 12) = 36 is z = -21.
To solve the equation -4(z + 12) = 36 for z, we need to isolate the variable z.
1. First, distribute -4 to the terms inside the parentheses:
-4z - 48 = 36
2. Next, move the constant term -48 to the other side of the equation by adding 48 to both sides:
-4z = 36 + 48
-4z = 84
3. To isolate z, divide both sides of the equation by -4:
z = 84 / -4
z = -21
Therefore, the solution to the equation -4(z+12) = 36 when solving for z is z = -21.