-(k-5)-3(2-5k)=-43

Solution for -(k-5)-3(2-5k)=-43 equation:

Simplifying
-1(k + -5) + -3(2 + -5k) = -43

Reorder the terms:
-1(-5 + k) + -3(2 + -5k) = -43
(-5 * -1 + k * -1) + -3(2 + -5k) = -43
(5 + -1k) + -3(2 + -5k) = -43
5 + -1k + (2 * -3 + -5k * -3) = -43
5 + -1k + (-6 + 15k) = -43

Reorder the terms:
5 + -6 + -1k + 15k = -43

Combine like terms: 5 + -6 = -1
-1 + -1k + 15k = -43

Combine like terms: -1k + 15k = 14k
-1 + 14k = -43

Solving
-1 + 14k = -43

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + 1 + 14k = -43 + 1

Combine like terms: -1 + 1 = 0
0 + 14k = -43 + 1
14k = -43 + 1

Combine like terms: -43 + 1 = -42
14k = -42

Divide each side by '14'.
k = -3

Simplifying
k = -3