2(k-7)-4((-8k)+5)=34

Solution for 2(k-7)-4((-8k)+5)=34 equation:

Simplifying
2(k + -7) + -4((-8k) + 5) = 34

Reorder the terms:
2(-7 + k) + -4((-8k) + 5) = 34
(-7 * 2 + k * 2) + -4((-8k) + 5) = 34
(-14 + 2k) + -4((-8k) + 5) = 34

Reorder the terms:
-14 + 2k + -4(5 + (-8k)) = 34
-14 + 2k + (5 * -4 + (-8k) * -4) = 34
-14 + 2k + (-20 + 32k) = 34

Reorder the terms:
-14 + -20 + 2k + 32k = 34

Combine like terms: -14 + -20 = -34
-34 + 2k + 32k = 34

Combine like terms: 2k + 32k = 34k
-34 + 34k = 34

Solving
-34 + 34k = 34

Solving for variable 'k'.

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

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

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

Combine like terms: 34 + 34 = 68
34k = 68

Divide each side by '34'.
k = 2

Simplifying
k = 2