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, we can start by distributing -7 to (-2 - 2z):
70 = -7(-2 - 2z)
70 = 14 + 14z
Next, we can subtract 14 from both sides of the equation:
70 - 14 = 14 + 14z - 14
56 = 14z
To solve for z, we divide both sides of the equation by 14:
56/14 = 14z/14
4 = z
Therefore, the solution to the equation is: z = 4
To solve the equation 70 = –7(–2 – 2z), we can follow these steps:
1. Distribute -7 to the terms inside the parentheses:
70 = -7(-2) - 7(2z)
2. Simplify the equation:
70 = 14 + 14z
3. Subtract 14 from both sides of the equation:
70 - 14 = 14z
56 = 14z
4. Divide both sides of the equation by 14:
56/14 = 14z/14
4 = z
Therefore, the solution to the equation is z = 4.
To solve the equation 70 = –7(–2 – 2z), you need to follow these steps:
1. Start by distributing the -7 to the terms inside the parentheses: -7 * -2 = 14 and -7 * -2z = 14z.
The equation now becomes: 70 = 14 + 14z.
2. Next, subtract 14 from both sides of the equation to isolate the variable:
70 - 14 = 14 + 14z - 14
Simplifying gives: 56 = 14z.
3. Divide both sides of the equation by 14 to solve for z:
56 / 14 = 14z / 14
The equation simplifies to: 4 = z.
Therefore, the solution to the equation is z = 4.