2(-4-7k)+4(1+7k)=-60

Solution for 2(-4-7k)+4(1+7k)=-60 equation:

Simplifying
2(-4 + -7k) + 4(1 + 7k) = -60
(-4 * 2 + -7k * 2) + 4(1 + 7k) = -60
(-8 + -14k) + 4(1 + 7k) = -60
-8 + -14k + (1 * 4 + 7k * 4) = -60
-8 + -14k + (4 + 28k) = -60

Reorder the terms:
-8 + 4 + -14k + 28k = -60

Combine like terms: -8 + 4 = -4
-4 + -14k + 28k = -60

Combine like terms: -14k + 28k = 14k
-4 + 14k = -60

Solving
-4 + 14k = -60

Solving for variable 'k'.

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

Add '4' to each side of the equation.
-4 + 4 + 14k = -60 + 4

Combine like terms: -4 + 4 = 0
0 + 14k = -60 + 4
14k = -60 + 4

Combine like terms: -60 + 4 = -56
14k = -56

Divide each side by '14'.
k = -4

Simplifying
k = -4