-83=4(1-3k)-1

Solution for -83=4(1-3k)-1 equation:

Simplifying
-83 = 4(1 + -3k) + -1
-83 = (1 * 4 + -3k * 4) + -1
-83 = (4 + -12k) + -1

Reorder the terms:
-83 = 4 + -1 + -12k

Combine like terms: 4 + -1 = 3
-83 = 3 + -12k

Solving
-83 = 3 + -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.
-83 + 12k = 3 + -12k + 12k

Combine like terms: -12k + 12k = 0
-83 + 12k = 3 + 0
-83 + 12k = 3

Add '83' to each side of the equation.
-83 + 83 + 12k = 3 + 83

Combine like terms: -83 + 83 = 0
0 + 12k = 3 + 83
12k = 3 + 83

Combine like terms: 3 + 83 = 86
12k = 86

Divide each side by '12'.
k = 7.166666667

Simplifying
k = 7.166666667