3k+15-9=2(1k+2)

Solution for 3k+15-9=2(1k+2) equation:

Simplifying
3k + 15 + -9 = 2(1k + 2)

Reorder the terms:
15 + -9 + 3k = 2(1k + 2)

Combine like terms: 15 + -9 = 6
6 + 3k = 2(1k + 2)

Reorder the terms:
6 + 3k = 2(2 + 1k)
6 + 3k = (2 * 2 + 1k * 2)
6 + 3k = (4 + 2k)

Solving
6 + 3k = 4 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
6 + 3k + -2k = 4 + 2k + -2k

Combine like terms: 3k + -2k = 1k
6 + 1k = 4 + 2k + -2k

Combine like terms: 2k + -2k = 0
6 + 1k = 4 + 0
6 + 1k = 4

Add '-6' to each side of the equation.
6 + -6 + 1k = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1k = 4 + -6
1k = 4 + -6

Combine like terms: 4 + -6 = -2
1k = -2

Divide each side by '1'.
k = -2

Simplifying
k = -2