Question

Помогите решить уравнение -4(-z+7)=z+17 все подробно

Answer 1

4z+-28=z+17
4z-z=28+17
3z=45
z=45/3
z=15

Answer 2

Solving the Equation -4(-z+7)=z+17

To solve the equation -4(-z+7)=z+17, we'll follow these steps:

1. Distribute the -4 on the left side of the equation. 2. Combine like terms. 3. Solve for z.

Step 1: Distribute the -4 on the left side of the equation

The equation -4(-z+7)=z+17 can be rewritten as 4z - 28 = z + 17 after distributing the -4.

Step 2: Combine like terms

Next, we combine like terms by subtracting z from both sides of the equation: 4z - z - 28 = 17

This simplifies to: 3z - 28 = 17

Step 3: Solve for z

To isolate z, we add 28 to both sides of the equation: 3z = 45

Finally, we solve for z by dividing both sides by 3: z = 15

So, the solution to the equation -4(-z+7)=z+17 is z = 15.

This solution was obtained by following the standard algebraic steps for solving equations.