4(k-1)+3(k+1)=34

Solution for 4(k-1)+3(k+1)=34 equation:

Simplifying
4(k + -1) + 3(k + 1) = 34

Reorder the terms:
4(-1 + k) + 3(k + 1) = 34
(-1 * 4 + k * 4) + 3(k + 1) = 34
(-4 + 4k) + 3(k + 1) = 34

Reorder the terms:
-4 + 4k + 3(1 + k) = 34
-4 + 4k + (1 * 3 + k * 3) = 34
-4 + 4k + (3 + 3k) = 34

Reorder the terms:
-4 + 3 + 4k + 3k = 34

Combine like terms: -4 + 3 = -1
-1 + 4k + 3k = 34

Combine like terms: 4k + 3k = 7k
-1 + 7k = 34

Solving
-1 + 7k = 34

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 7k = 34 + 1

Combine like terms: -1 + 1 = 0
0 + 7k = 34 + 1
7k = 34 + 1

Combine like terms: 34 + 1 = 35
7k = 35

Divide each side by '7'.
k = 5

Simplifying
k = 5