63=3(k+3)+2(k-3)

Solution for 63=3(k+3)+2(k-3) equation:

Simplifying
63 = 3(k + 3) + 2(k + -3)

Reorder the terms:
63 = 3(3 + k) + 2(k + -3)
63 = (3 * 3 + k * 3) + 2(k + -3)
63 = (9 + 3k) + 2(k + -3)

Reorder the terms:
63 = 9 + 3k + 2(-3 + k)
63 = 9 + 3k + (-3 * 2 + k * 2)
63 = 9 + 3k + (-6 + 2k)

Reorder the terms:
63 = 9 + -6 + 3k + 2k

Combine like terms: 9 + -6 = 3
63 = 3 + 3k + 2k

Combine like terms: 3k + 2k = 5k
63 = 3 + 5k

Solving
63 = 3 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
63 + -5k = 3 + 5k + -5k

Combine like terms: 5k + -5k = 0
63 + -5k = 3 + 0
63 + -5k = 3

Add '-63' to each side of the equation.
63 + -63 + -5k = 3 + -63

Combine like terms: 63 + -63 = 0
0 + -5k = 3 + -63
-5k = 3 + -63

Combine like terms: 3 + -63 = -60
-5k = -60

Divide each side by '-5'.
k = 12

Simplifying
k = 12