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

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

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

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

Reorder the terms:
2 + 2k = 6(7 + k)
2 + 2k = (7 * 6 + k * 6)
2 + 2k = (42 + 6k)

Solving
2 + 2k = 42 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
2 + 2k + -6k = 42 + 6k + -6k

Combine like terms: 2k + -6k = -4k
2 + -4k = 42 + 6k + -6k

Combine like terms: 6k + -6k = 0
2 + -4k = 42 + 0
2 + -4k = 42

Add '-2' to each side of the equation.
2 + -2 + -4k = 42 + -2

Combine like terms: 2 + -2 = 0
0 + -4k = 42 + -2
-4k = 42 + -2

Combine like terms: 42 + -2 = 40
-4k = 40

Divide each side by '-4'.
k = -10

Simplifying
k = -10