Question

4(k-8)-3(5-4k)=6(3k-7)

Answer 1

4к-32-15+12к=18к-42

16к-47=18к-42

16к-18к=-42+47

-2к=5

Ответ к=-5/2

Answer 2

Ответ:

4к-32-15+12к=18к-42

-26к=-42+32+15

-26к=5

к=-5/26

Answer 3

Let's solve the equation step by step:

1. Distribute the terms on both sides of the equation: 4k - 32 - 15 + 12k = 18k - 42

2. Combine like terms on both sides of the equation: 4k + 12k - 32 - 15 = 18k - 42 (4k + 12k) - 47 = 18k - 42 16k - 47 = 18k - 42

3. Move all the terms containing 'k' to one side of the equation by adding 47 to both sides: 16k - 47 + 47 = 18k - 42 + 47 16k = 18k + 5

4. Move all the terms containing 'k' to one side of the equation by subtracting 18k from both sides: 16k - 18k = 18k + 5 - 18k -2k = 5

5. Finally, solve for 'k' by dividing both sides by -2: k = 5 / -2 k = -2.5

So the solution to the equation is k = -2.5. You can verify this value by substituting it back into the original equation to see if both sides are equal.