2(10k+3)=4(-9+2k)

Solution for 2(10k+3)=4(-9+2k) equation:

Simplifying
2(10k + 3) = 4(-9 + 2k)

Reorder the terms:
2(3 + 10k) = 4(-9 + 2k)
(3 * 2 + 10k * 2) = 4(-9 + 2k)
(6 + 20k) = 4(-9 + 2k)
6 + 20k = (-9 * 4 + 2k * 4)
6 + 20k = (-36 + 8k)

Solving
6 + 20k = -36 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
6 + 20k + -8k = -36 + 8k + -8k

Combine like terms: 20k + -8k = 12k
6 + 12k = -36 + 8k + -8k

Combine like terms: 8k + -8k = 0
6 + 12k = -36 + 0
6 + 12k = -36

Add '-6' to each side of the equation.
6 + -6 + 12k = -36 + -6

Combine like terms: 6 + -6 = 0
0 + 12k = -36 + -6
12k = -36 + -6

Combine like terms: -36 + -6 = -42
12k = -42

Divide each side by '12'.
k = -3.5

Simplifying
k = -3.5