6(k+1)=2k*7

Solution for 6(k+1)=2k*7 equation:

Simplifying
6(k + 1) = 2k * 7

Reorder the terms:
6(1 + k) = 2k * 7
(1 * 6 + k * 6) = 2k * 7
(6 + 6k) = 2k * 7

Reorder the terms for easier multiplication:
6 + 6k = 2 * 7k

Multiply 2 * 7
6 + 6k = 14k

Solving
6 + 6k = 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
6 + 6k + -14k = 14k + -14k

Combine like terms: 6k + -14k = -8k
6 + -8k = 14k + -14k

Combine like terms: 14k + -14k = 0
6 + -8k = 0

Add '-6' to each side of the equation.
6 + -6 + -8k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -8k = 0 + -6
-8k = 0 + -6

Combine like terms: 0 + -6 = -6
-8k = -6

Divide each side by '-8'.
k = 0.75

Simplifying
k = 0.75