Solve the equation.
70 = –7(–2 – 2z)
(1 point)
Responses
z = 4
z = 4
z = –28
z = –28
z = –112
z = –112
z = 784
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.
To solve the equation 70 = -7(-2 - 2z), we can follow these steps:
1. Start by distributing -7 to each term inside the parentheses:
70 = -7(-2) - 7(2z)
2. Simplify the terms inside the parentheses:
70 = 14 - 14z
3. Combine like terms:
70 + 14z = 14
4. Move the constant term to the other side of the equation:
14z = 14 - 70
5. Simplify the right side of the equation:
14z = -56
6. Divide both sides of the equation by 14 to solve for z:
z = -56/14
7. Simplify the right side of the equation:
z = -4
So the solution to the equation is z = -4.
To solve the equation 70 = –7(–2 – 2z), we can follow these steps:
1. Distribute the -7 to -2 and -2z: -7 * -2 + -7 * -2z
This gives us: 14 + 14z
2. Rewrite the equation with the distributed terms: 70 = 14 + 14z
3. Subtract 14 from both sides of the equation to isolate the variable:
70 - 14 = 14 + 14z - 14
Simplifying, 56 = 14z
4. Divide both sides of the equation by 14 to solve for z:
56/14 = 14z/14
Simplifying further, 4 = z
Therefore, the solution to the equation is z = 4.