2(4k+3)+4(k-2)=34

Solution for 2(4k+3)+4(k-2)=34 equation:

Simplifying
2(4k + 3) + 4(k + -2) = 34

Reorder the terms:
2(3 + 4k) + 4(k + -2) = 34
(3 * 2 + 4k * 2) + 4(k + -2) = 34
(6 + 8k) + 4(k + -2) = 34

Reorder the terms:
6 + 8k + 4(-2 + k) = 34
6 + 8k + (-2 * 4 + k * 4) = 34
6 + 8k + (-8 + 4k) = 34

Reorder the terms:
6 + -8 + 8k + 4k = 34

Combine like terms: 6 + -8 = -2
-2 + 8k + 4k = 34

Combine like terms: 8k + 4k = 12k
-2 + 12k = 34

Solving
-2 + 12k = 34

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + 2 + 12k = 34 + 2

Combine like terms: -2 + 2 = 0
0 + 12k = 34 + 2
12k = 34 + 2

Combine like terms: 34 + 2 = 36
12k = 36

Divide each side by '12'.
k = 3

Simplifying
k = 3