6(1+3k)=-4k+(k+1)

Solution for 6(1+3k)=-4k+(k+1) equation:

Simplifying
6(1 + 3k) = -4k + (k + 1)
(1 * 6 + 3k * 6) = -4k + (k + 1)
(6 + 18k) = -4k + (k + 1)

Reorder the terms:
6 + 18k = -4k + (1 + k)

Remove parenthesis around (1 + k)
6 + 18k = -4k + 1 + k

Reorder the terms:
6 + 18k = 1 + -4k + k

Combine like terms: -4k + k = -3k
6 + 18k = 1 + -3k

Solving
6 + 18k = 1 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
6 + 18k + 3k = 1 + -3k + 3k

Combine like terms: 18k + 3k = 21k
6 + 21k = 1 + -3k + 3k

Combine like terms: -3k + 3k = 0
6 + 21k = 1 + 0
6 + 21k = 1

Add '-6' to each side of the equation.
6 + -6 + 21k = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 21k = 1 + -6
21k = 1 + -6

Combine like terms: 1 + -6 = -5
21k = -5

Divide each side by '21'.
k = -0.2380952381

Simplifying
k = -0.2380952381