Determine the numerical value of the variable that satisfies the given linear equation.

Answer:For the equation

7k - 5 = 3k + 19

, the value of

k

is 【6】.

The correct value for k is 6.

To find the value of

k

, we must isolate the variable on one side of the equation. By subtracting

3k

from both sides, we get

4k - 5 = 19

. Next, adding

5

to both sides gives

4k = 24

. Finally, dividing both sides by

4

results in

k = 6

Subtract

3k

from both sides of the equation.

4k - 5 = 19

This groups all variable terms on the left side of the equation.

Add

5

to both sides of the equation.

4k = 24

This isolates the variable term by moving the constant to the right side.

Divide both sides by

4

k = 6

This cancels the coefficient on the variable, yielding the final solution.

Solving linear equations with variables on both sides by using inverse operations to isolate the unknown.

Question