6(1+2k)=-k+19

Solution for 6(1+2k)=-k+19 equation:

Simplifying
6(1 + 2k) = -1k + 19
(1 * 6 + 2k * 6) = -1k + 19
(6 + 12k) = -1k + 19

Reorder the terms:
6 + 12k = 19 + -1k

Solving
6 + 12k = 19 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
6 + 12k + k = 19 + -1k + k

Combine like terms: 12k + k = 13k
6 + 13k = 19 + -1k + k

Combine like terms: -1k + k = 0
6 + 13k = 19 + 0
6 + 13k = 19

Add '-6' to each side of the equation.
6 + -6 + 13k = 19 + -6

Combine like terms: 6 + -6 = 0
0 + 13k = 19 + -6
13k = 19 + -6

Combine like terms: 19 + -6 = 13
13k = 13

Divide each side by '13'.
k = 1

Simplifying
k = 1