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
z = 4
To solve the equation 70 = -7(-2 - 2z), follow these steps:
1. Distribute -7 to the terms inside the parenthesis:
70 = -7(-2) - 7(-2z)
2. Simplify the equation:
70 = 14 + 14z
3. Move 14 to the right side of the equation by subtracting it from both sides:
70 - 14 = 14z
4. Simplify the equation further:
56 = 14z
5. Divide both sides of the equation by 14 to isolate z:
56/14 = z
6. Evaluate the division:
4 = z
Therefore, the solution to the equation is z = 4.