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

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

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

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

Combine like terms: k + 6k = 7k
3 + 7k = 3k

Solving
3 + 7k = 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.
3 + 7k + -3k = 3k + -3k

Combine like terms: 7k + -3k = 4k
3 + 4k = 3k + -3k

Combine like terms: 3k + -3k = 0
3 + 4k = 0

Add '-3' to each side of the equation.
3 + -3 + 4k = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4k = 0 + -3
4k = 0 + -3

Combine like terms: 0 + -3 = -3
4k = -3

Divide each side by '4'.
k = -0.75

Simplifying
k = -0.75