-6(4K+1)+7k+9(k-3)=-1

Solution for -6(4K+1)+7k+9(k-3)=-1 equation:

Simplifying
-6(4K + 1) + 7k + 9(k + -3) = -1

Reorder the terms:
-6(1 + 4K) + 7k + 9(k + -3) = -1
(1 * -6 + 4K * -6) + 7k + 9(k + -3) = -1
(-6 + -24K) + 7k + 9(k + -3) = -1

Reorder the terms:
-6 + -24K + 7k + 9(-3 + k) = -1
-6 + -24K + 7k + (-3 * 9 + k * 9) = -1
-6 + -24K + 7k + (-27 + 9k) = -1

Reorder the terms:
-6 + -27 + -24K + 7k + 9k = -1

Combine like terms: -6 + -27 = -33
-33 + -24K + 7k + 9k = -1

Combine like terms: 7k + 9k = 16k
-33 + -24K + 16k = -1

Solving
-33 + -24K + 16k = -1

Solving for variable 'K'.

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

Add '33' to each side of the equation.
-33 + -24K + 33 + 16k = -1 + 33

Reorder the terms:
-33 + 33 + -24K + 16k = -1 + 33

Combine like terms: -33 + 33 = 0
0 + -24K + 16k = -1 + 33
-24K + 16k = -1 + 33

Combine like terms: -1 + 33 = 32
-24K + 16k = 32

Add '-16k' to each side of the equation.
-24K + 16k + -16k = 32 + -16k

Combine like terms: 16k + -16k = 0
-24K + 0 = 32 + -16k
-24K = 32 + -16k

Divide each side by '-24'.
K = -1.333333333 + 0.6666666667k

Simplifying
K = -1.333333333 + 0.6666666667k