-43=-4-3(4k-3)

Solution for -43=-4-3(4k-3) equation:

Simplifying
-43 = -4 + -3(4k + -3)

Reorder the terms:
-43 = -4 + -3(-3 + 4k)
-43 = -4 + (-3 * -3 + 4k * -3)
-43 = -4 + (9 + -12k)

Combine like terms: -4 + 9 = 5
-43 = 5 + -12k

Solving
-43 = 5 + -12k

Solving for variable 'k'.

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

Add '12k' to each side of the equation.
-43 + 12k = 5 + -12k + 12k

Combine like terms: -12k + 12k = 0
-43 + 12k = 5 + 0
-43 + 12k = 5

Add '43' to each side of the equation.
-43 + 43 + 12k = 5 + 43

Combine like terms: -43 + 43 = 0
0 + 12k = 5 + 43
12k = 5 + 43

Combine like terms: 5 + 43 = 48
12k = 48

Divide each side by '12'.
k = 4

Simplifying
k = 4