5(10k+1)+2(2+8k)=

Solution for 5(10k+1)+2(2+8k)= equation:

Simplifying
5(10k + 1) + 2(2 + 8k) = 0

Reorder the terms:
5(1 + 10k) + 2(2 + 8k) = 0
(1 * 5 + 10k * 5) + 2(2 + 8k) = 0
(5 + 50k) + 2(2 + 8k) = 0
5 + 50k + (2 * 2 + 8k * 2) = 0
5 + 50k + (4 + 16k) = 0

Reorder the terms:
5 + 4 + 50k + 16k = 0

Combine like terms: 5 + 4 = 9
9 + 50k + 16k = 0

Combine like terms: 50k + 16k = 66k
9 + 66k = 0

Solving
9 + 66k = 0

Solving for variable 'k'.

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

Add '-9' to each side of the equation.
9 + -9 + 66k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 66k = 0 + -9
66k = 0 + -9

Combine like terms: 0 + -9 = -9
66k = -9

Divide each side by '66'.
k = -0.1363636364

Simplifying
k = -0.1363636364