-4(1+3k)-2=-7(k+3)

Solution for -4(1+3k)-2=-7(k+3) equation:

Simplifying
-4(1 + 3k) + -2 = -7(k + 3)
(1 * -4 + 3k * -4) + -2 = -7(k + 3)
(-4 + -12k) + -2 = -7(k + 3)

Reorder the terms:
-4 + -2 + -12k = -7(k + 3)

Combine like terms: -4 + -2 = -6
-6 + -12k = -7(k + 3)

Reorder the terms:
-6 + -12k = -7(3 + k)
-6 + -12k = (3 * -7 + k * -7)
-6 + -12k = (-21 + -7k)

Solving
-6 + -12k = -21 + -7k

Solving for variable 'k'.

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

Add '7k' to each side of the equation.
-6 + -12k + 7k = -21 + -7k + 7k

Combine like terms: -12k + 7k = -5k
-6 + -5k = -21 + -7k + 7k

Combine like terms: -7k + 7k = 0
-6 + -5k = -21 + 0
-6 + -5k = -21

Add '6' to each side of the equation.
-6 + 6 + -5k = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -5k = -21 + 6
-5k = -21 + 6

Combine like terms: -21 + 6 = -15
-5k = -15

Divide each side by '-5'.
k = 3

Simplifying
k = 3