Question

Solve the following equation.

70 = –7(–2 – 2z)
(1 point)
Responses

z = 4
z = 4

z = –28
z = –28

z = –112
z = –112

z = 784

Answer 1

you are wrong that is not one of the answers

Answer 2

To solve the equation 70 = –7(–2 – 2z), we need to simplify the right side first by applying the distributive property:

70 = -7(-2) - 7(2z)
70 = 14 + (-14z)

Next, combine like terms on the right side:

70 = 14 - 14z

Subtract 14 from both sides:

70 - 14 = -14z
56 = -14z

Divide both sides by -14:

z = 56/-14
z = -4

Therefore, the solution to the equation is z = -4.

Answer 3

Apologies for the mistake. Let's solve the equation correctly.

70 = –7(–2 – 2z)

First, distribute -7 to the terms inside the parentheses:

70 = -7 * -2 + -7 * -2z
70 = 14 + 14z

Next, subtract 14 from both sides:

70 - 14 = 14z
56 = 14z

Now, divide both sides by 14:

56/14 = z
4 = z

Therefore, the correct solution to the equation is z = 4.