8(k+6)=3(k+33)

Solution for 8(k+6)=3(k+33) equation:

Simplifying
8(k + 6) = 3(k + 33)

Reorder the terms:
8(6 + k) = 3(k + 33)
(6 * 8 + k * 8) = 3(k + 33)
(48 + 8k) = 3(k + 33)

Reorder the terms:
48 + 8k = 3(33 + k)
48 + 8k = (33 * 3 + k * 3)
48 + 8k = (99 + 3k)

Solving
48 + 8k = 99 + 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.
48 + 8k + -3k = 99 + 3k + -3k

Combine like terms: 8k + -3k = 5k
48 + 5k = 99 + 3k + -3k

Combine like terms: 3k + -3k = 0
48 + 5k = 99 + 0
48 + 5k = 99

Add '-48' to each side of the equation.
48 + -48 + 5k = 99 + -48

Combine like terms: 48 + -48 = 0
0 + 5k = 99 + -48
5k = 99 + -48

Combine like terms: 99 + -48 = 51
5k = 51

Divide each side by '5'.
k = 10.2

Simplifying
k = 10.2