-3(k-2)=6k+1

Solution for -3(k-2)=6k+1 equation:

Simplifying
-3(k + -2) = 6k + 1

Reorder the terms:
-3(-2 + k) = 6k + 1
(-2 * -3 + k * -3) = 6k + 1
(6 + -3k) = 6k + 1

Reorder the terms:
6 + -3k = 1 + 6k

Solving
6 + -3k = 1 + 6k

Solving for variable 'k'.

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

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

Combine like terms: -3k + -6k = -9k
6 + -9k = 1 + 6k + -6k

Combine like terms: 6k + -6k = 0
6 + -9k = 1 + 0
6 + -9k = 1

Add '-6' to each side of the equation.
6 + -6 + -9k = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -9k = 1 + -6
-9k = 1 + -6

Combine like terms: 1 + -6 = -5
-9k = -5

Divide each side by '-9'.
k = 0.5555555556

Simplifying
k = 0.5555555556