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

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

Simplifying
3(k + 4) * 6 + 7(k + 6) = 0

Reorder the terms:
3(4 + k) * 6 + 7(k + 6) = 0

Reorder the terms for easier multiplication:
3 * 6(4 + k) + 7(k + 6) = 0

Multiply 3 * 6
18(4 + k) + 7(k + 6) = 0
(4 * 18 + k * 18) + 7(k + 6) = 0
(72 + 18k) + 7(k + 6) = 0

Reorder the terms:
72 + 18k + 7(6 + k) = 0
72 + 18k + (6 * 7 + k * 7) = 0
72 + 18k + (42 + 7k) = 0

Reorder the terms:
72 + 42 + 18k + 7k = 0

Combine like terms: 72 + 42 = 114
114 + 18k + 7k = 0

Combine like terms: 18k + 7k = 25k
114 + 25k = 0

Solving
114 + 25k = 0

Solving for variable 'k'.

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

Add '-114' to each side of the equation.
114 + -114 + 25k = 0 + -114

Combine like terms: 114 + -114 = 0
0 + 25k = 0 + -114
25k = 0 + -114

Combine like terms: 0 + -114 = -114
25k = -114

Divide each side by '25'.
k = -4.56

Simplifying
k = -4.56