6(1-7k)+2(2-5k)=10

Solution for 6(1-7k)+2(2-5k)=10 equation:

Simplifying
6(1 + -7k) + 2(2 + -5k) = 10
(1 * 6 + -7k * 6) + 2(2 + -5k) = 10
(6 + -42k) + 2(2 + -5k) = 10
6 + -42k + (2 * 2 + -5k * 2) = 10
6 + -42k + (4 + -10k) = 10

Reorder the terms:
6 + 4 + -42k + -10k = 10

Combine like terms: 6 + 4 = 10
10 + -42k + -10k = 10

Combine like terms: -42k + -10k = -52k
10 + -52k = 10

Add '-10' to each side of the equation.
10 + -10 + -52k = 10 + -10

Combine like terms: 10 + -10 = 0
0 + -52k = 10 + -10
-52k = 10 + -10

Combine like terms: 10 + -10 = 0
-52k = 0

Solving
-52k = 0

Solving for variable 'k'.

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

Divide each side by '-52'.
k = 0

Simplifying
k = 0