-35+2k=3(1+7k)

Solution for -35+2k=3(1+7k) equation:

Simplifying
-35 + 2k = 3(1 + 7k)
-35 + 2k = (1 * 3 + 7k * 3)
-35 + 2k = (3 + 21k)

Solving
-35 + 2k = 3 + 21k

Solving for variable 'k'.

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

Add '-21k' to each side of the equation.
-35 + 2k + -21k = 3 + 21k + -21k

Combine like terms: 2k + -21k = -19k
-35 + -19k = 3 + 21k + -21k

Combine like terms: 21k + -21k = 0
-35 + -19k = 3 + 0
-35 + -19k = 3

Add '35' to each side of the equation.
-35 + 35 + -19k = 3 + 35

Combine like terms: -35 + 35 = 0
0 + -19k = 3 + 35
-19k = 3 + 35

Combine like terms: 3 + 35 = 38
-19k = 38

Divide each side by '-19'.
k = -2

Simplifying
k = -2