2k+3=3(6k-12)+71

Solution for 2k+3=3(6k-12)+71 equation:

Simplifying
2k + 3 = 3(6k + -12) + 71

Reorder the terms:
3 + 2k = 3(6k + -12) + 71

Reorder the terms:
3 + 2k = 3(-12 + 6k) + 71
3 + 2k = (-12 * 3 + 6k * 3) + 71
3 + 2k = (-36 + 18k) + 71

Reorder the terms:
3 + 2k = -36 + 71 + 18k

Combine like terms: -36 + 71 = 35
3 + 2k = 35 + 18k

Solving
3 + 2k = 35 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
3 + 2k + -18k = 35 + 18k + -18k

Combine like terms: 2k + -18k = -16k
3 + -16k = 35 + 18k + -18k

Combine like terms: 18k + -18k = 0
3 + -16k = 35 + 0
3 + -16k = 35

Add '-3' to each side of the equation.
3 + -3 + -16k = 35 + -3

Combine like terms: 3 + -3 = 0
0 + -16k = 35 + -3
-16k = 35 + -3

Combine like terms: 35 + -3 = 32
-16k = 32

Divide each side by '-16'.
k = -2

Simplifying
k = -2