-137=5(1+7k)-2

Solution for -137=5(1+7k)-2 equation:

Simplifying
-137 = 5(1 + 7k) + -2
-137 = (1 * 5 + 7k * 5) + -2
-137 = (5 + 35k) + -2

Reorder the terms:
-137 = 5 + -2 + 35k

Combine like terms: 5 + -2 = 3
-137 = 3 + 35k

Solving
-137 = 3 + 35k

Solving for variable 'k'.

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

Add '-35k' to each side of the equation.
-137 + -35k = 3 + 35k + -35k

Combine like terms: 35k + -35k = 0
-137 + -35k = 3 + 0
-137 + -35k = 3

Add '137' to each side of the equation.
-137 + 137 + -35k = 3 + 137

Combine like terms: -137 + 137 = 0
0 + -35k = 3 + 137
-35k = 3 + 137

Combine like terms: 3 + 137 = 140
-35k = 140

Divide each side by '-35'.
k = -4

Simplifying
k = -4