6+k=-4+4k+7

Solution for 6+k=-4+4k+7 equation:

Simplifying
6 + k = -4 + 4k + 7

Reorder the terms:
6 + k = -4 + 7 + 4k

Combine like terms: -4 + 7 = 3
6 + k = 3 + 4k

Solving
6 + k = 3 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
6 + k + -4k = 3 + 4k + -4k

Combine like terms: k + -4k = -3k
6 + -3k = 3 + 4k + -4k

Combine like terms: 4k + -4k = 0
6 + -3k = 3 + 0
6 + -3k = 3

Add '-6' to each side of the equation.
6 + -6 + -3k = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -3k = 3 + -6
-3k = 3 + -6

Combine like terms: 3 + -6 = -3
-3k = -3

Divide each side by '-3'.
k = 1

Simplifying
k = 1