k(2k+2)-6(2k+4)=k(2k-4)+(6k+9)

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Solution for k(2k+2)-6(2k+4)=k(2k-4)+(6k+9) equation: 


Simplifying
k(2k + 2) + -6(2k + 4) = k(2k + -4) + (6k + 9)

Reorder the terms:
k(2 + 2k) + -6(2k + 4) = k(2k + -4) + (6k + 9)
(2 * k + 2k * k) + -6(2k + 4) = k(2k + -4) + (6k + 9)
(2k + 2k2) + -6(2k + 4) = k(2k + -4) + (6k + 9)

Reorder the terms:
2k + 2k2 + -6(4 + 2k) = k(2k + -4) + (6k + 9)
2k + 2k2 + (4 * -6 + 2k * -6) = k(2k + -4) + (6k + 9)
2k + 2k2 + (-24 + -12k) = k(2k + -4) + (6k + 9)

Reorder the terms:
-24 + 2k + -12k + 2k2 = k(2k + -4) + (6k + 9)

Combine like terms: 2k + -12k = -10k
-24 + -10k + 2k2 = k(2k + -4) + (6k + 9)

Reorder the terms:
-24 + -10k + 2k2 = k(-4 + 2k) + (6k + 9)
-24 + -10k + 2k2 = (-4 * k + 2k * k) + (6k + 9)
-24 + -10k + 2k2 = (-4k + 2k2) + (6k + 9)

Reorder the terms:
-24 + -10k + 2k2 = -4k + 2k2 + (9 + 6k)

Remove parenthesis around (9 + 6k)
-24 + -10k + 2k2 = -4k + 2k2 + 9 + 6k

Reorder the terms:
-24 + -10k + 2k2 = 9 + -4k + 6k + 2k2

Combine like terms: -4k + 6k = 2k
-24 + -10k + 2k2 = 9 + 2k + 2k2

Add '-2k2' to each side of the equation.
-24 + -10k + 2k2 + -2k2 = 9 + 2k + 2k2 + -2k2

Combine like terms: 2k2 + -2k2 = 0
-24 + -10k + 0 = 9 + 2k + 2k2 + -2k2
-24 + -10k = 9 + 2k + 2k2 + -2k2

Combine like terms: 2k2 + -2k2 = 0
-24 + -10k = 9 + 2k + 0
-24 + -10k = 9 + 2k

Solving
-24 + -10k = 9 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
-24 + -10k + -2k = 9 + 2k + -2k

Combine like terms: -10k + -2k = -12k
-24 + -12k = 9 + 2k + -2k

Combine like terms: 2k + -2k = 0
-24 + -12k = 9 + 0
-24 + -12k = 9

Add '24' to each side of the equation.
-24 + 24 + -12k = 9 + 24

Combine like terms: -24 + 24 = 0
0 + -12k = 9 + 24
-12k = 9 + 24

Combine like terms: 9 + 24 = 33
-12k = 33

Divide each side by '-12'.
k = -2.75

Simplifying
k = -2.75

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