Solve the equation.

70 = –7(–2 – 2z)
(1 point)
Responses

z = 4
z = 4

z = –28
z = –28

z = –112
z = –112

z = 784

1 answer

First, simplify the equation by distributing -7 to the terms inside the parentheses:

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

Next, isolate the variable term by subtracting 14 from both sides:

70 - 14 = 14z
56 = 14z

Finally, divide both sides by 14 to solve for z:

56/14 = z
z = 4

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