-5k+6=6(1+3k)+3k

Solution for -5k+6=6(1+3k)+3k equation:

Simplifying
-5k + 6 = 6(1 + 3k) + 3k

Reorder the terms:
6 + -5k = 6(1 + 3k) + 3k
6 + -5k = (1 * 6 + 3k * 6) + 3k
6 + -5k = (6 + 18k) + 3k

Combine like terms: 18k + 3k = 21k
6 + -5k = 6 + 21k

Add '-6' to each side of the equation.
6 + -6 + -5k = 6 + -6 + 21k

Combine like terms: 6 + -6 = 0
0 + -5k = 6 + -6 + 21k
-5k = 6 + -6 + 21k

Combine like terms: 6 + -6 = 0
-5k = 0 + 21k
-5k = 21k

Solving
-5k = 21k

Solving for variable 'k'.

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

Add '-21k' to each side of the equation.
-5k + -21k = 21k + -21k

Combine like terms: -5k + -21k = -26k
-26k = 21k + -21k

Combine like terms: 21k + -21k = 0
-26k = 0

Divide each side by '-26'.
k = 0

Simplifying
k = 0