70=-7(-2-2z) a. z=4 b. z=-28 c. z=-112 d. z=784

Answer 1

To solve this equation, we will apply the distributive property and solve for z.

70 = -7(-2 - 2z)

First, distribute -7 to the terms inside the parentheses:
70 = (-7 * -2) + (-7 * -2z)

Simplify:
70 = 14 + 14z

Next, isolate the variable term by subtracting 14 from both sides of the equation:
70 - 14 = 14 + 14z - 14
56 = 14z

Finally, divide both sides of the equation by 14 to solve for z:
56/14 = 14z/14
4 = z

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

Answer 2

-6p+7=3(2p-3)-4(-10+4p) a. p=6 b. p=5 c. p=7 d. p=12

Answer 3

To solve this equation, we will apply the distributive property and combine like terms.

-6p + 7 = 3(2p - 3) - 4(-10 + 4p)

First, distribute 3 and -4 to the terms inside the parentheses:
-6p + 7 = 6p - 9 + 40 - 16p

Next, combine like terms:
-6p + 7 = -10p + 31

To solve for p, we want to isolate the variable term on one side of the equation. We can do this by adding 10p to both sides and subtracting 7 from both sides:
-6p + 10p + 7 = -10p + 10p + 31 - 7
4p + 7 = 31

Next, subtract 7 from both sides:
4p + 7 - 7 = 31 - 7
4p = 24

Finally, divide both sides of the equation by 4 to solve for p:
4p/4 = 24/4
p = 6

Therefore, the solution to the equation is p = 6.