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

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

Simplifying
3(1 + 4k) = -3(1 + -3k)
(1 * 3 + 4k * 3) = -3(1 + -3k)
(3 + 12k) = -3(1 + -3k)
3 + 12k = (1 * -3 + -3k * -3)
3 + 12k = (-3 + 9k)

Solving
3 + 12k = -3 + 9k

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
3 + 12k + -9k = -3 + 9k + -9k

Combine like terms: 12k + -9k = 3k
3 + 3k = -3 + 9k + -9k

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

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

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

Combine like terms: -3 + -3 = -6
3k = -6

Divide each side by '3'.
k = -2

Simplifying
k = -2