37-k=6(1+5k)

Solution for 37-k=6(1+5k) equation:

Simplifying
37 + -1k = 6(1 + 5k)
37 + -1k = (1 * 6 + 5k * 6)
37 + -1k = (6 + 30k)

Solving
37 + -1k = 6 + 30k

Solving for variable 'k'.

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

Add '-30k' to each side of the equation.
37 + -1k + -30k = 6 + 30k + -30k

Combine like terms: -1k + -30k = -31k
37 + -31k = 6 + 30k + -30k

Combine like terms: 30k + -30k = 0
37 + -31k = 6 + 0
37 + -31k = 6

Add '-37' to each side of the equation.
37 + -37 + -31k = 6 + -37

Combine like terms: 37 + -37 = 0
0 + -31k = 6 + -37
-31k = 6 + -37

Combine like terms: 6 + -37 = -31
-31k = -31

Divide each side by '-31'.
k = 1

Simplifying
k = 1