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
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.
you are wrong that is not one of the answers
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.
To solve the equation 70 = -7(-2 - 2z), follow these steps:
1. Distribute the -7 to the terms inside the parentheses: 70 = (-7)(-2) - (-7)(2z)
This simplifies to: 70 = 14 + 14z
2. Combine like terms: 70 - 14 = 14z
This simplifies to: 56 = 14z
3. Divide both sides of the equation by 14: 56/14 = z
This simplifies to: 4 = z
Therefore, the solution to the equation is z = 4.
To solve the given equation, follow these steps:
Step 1: Distribute the negative sign outside the parentheses to each term inside:
70 = -7*(-2) + -7*(-2z)
70 = 14 + 14z
Step 2: Simplify the equation by combining like terms:
70 - 14 = 14z
56 = 14z
Step 3: Divide both sides of the equation by 14 to isolate z:
56/14 = z
4 = z
Therefore, the solution to the equation is z = 4.