-3k+3(1-4k)=37+2k

Solution for -3k+3(1-4k)=37+2k equation:

Simplifying
-3k + 3(1 + -4k) = 37 + 2k
-3k + (1 * 3 + -4k * 3) = 37 + 2k
-3k + (3 + -12k) = 37 + 2k

Reorder the terms:
3 + -3k + -12k = 37 + 2k

Combine like terms: -3k + -12k = -15k
3 + -15k = 37 + 2k

Solving
3 + -15k = 37 + 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.
3 + -15k + -2k = 37 + 2k + -2k

Combine like terms: -15k + -2k = -17k
3 + -17k = 37 + 2k + -2k

Combine like terms: 2k + -2k = 0
3 + -17k = 37 + 0
3 + -17k = 37

Add '-3' to each side of the equation.
3 + -3 + -17k = 37 + -3

Combine like terms: 3 + -3 = 0
0 + -17k = 37 + -3
-17k = 37 + -3

Combine like terms: 37 + -3 = 34
-17k = 34

Divide each side by '-17'.
k = -2

Simplifying
k = -2