6+7(k+4)=10+3k

Solution for 6+7(k+4)=10+3k equation:

Simplifying
6 + 7(k + 4) = 10 + 3k

Reorder the terms:
6 + 7(4 + k) = 10 + 3k
6 + (4 * 7 + k * 7) = 10 + 3k
6 + (28 + 7k) = 10 + 3k

Combine like terms: 6 + 28 = 34
34 + 7k = 10 + 3k

Solving
34 + 7k = 10 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
34 + 7k + -3k = 10 + 3k + -3k

Combine like terms: 7k + -3k = 4k
34 + 4k = 10 + 3k + -3k

Combine like terms: 3k + -3k = 0
34 + 4k = 10 + 0
34 + 4k = 10

Add '-34' to each side of the equation.
34 + -34 + 4k = 10 + -34

Combine like terms: 34 + -34 = 0
0 + 4k = 10 + -34
4k = 10 + -34

Combine like terms: 10 + -34 = -24
4k = -24

Divide each side by '4'.
k = -6

Simplifying
k = -6