2(k+8)=-3(k+3)

Solution for 2(k+8)=-3(k+3) equation:

Simplifying
2(k + 8) = -3(k + 3)

Reorder the terms:
2(8 + k) = -3(k + 3)
(8 * 2 + k * 2) = -3(k + 3)
(16 + 2k) = -3(k + 3)

Reorder the terms:
16 + 2k = -3(3 + k)
16 + 2k = (3 * -3 + k * -3)
16 + 2k = (-9 + -3k)

Solving
16 + 2k = -9 + -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.
16 + 2k + 3k = -9 + -3k + 3k

Combine like terms: 2k + 3k = 5k
16 + 5k = -9 + -3k + 3k

Combine like terms: -3k + 3k = 0
16 + 5k = -9 + 0
16 + 5k = -9

Add '-16' to each side of the equation.
16 + -16 + 5k = -9 + -16

Combine like terms: 16 + -16 = 0
0 + 5k = -9 + -16
5k = -9 + -16

Combine like terms: -9 + -16 = -25
5k = -25

Divide each side by '5'.
k = -5

Simplifying
k = -5