-4(2k+8)+6(3k-4)=-16

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Solution for -4(2k+8)+6(3k-4)=-16 equation: 


Simplifying
-4(2k + 8) + 6(3k + -4) = -16

Reorder the terms:
-4(8 + 2k) + 6(3k + -4) = -16
(8 * -4 + 2k * -4) + 6(3k + -4) = -16
(-32 + -8k) + 6(3k + -4) = -16

Reorder the terms:
-32 + -8k + 6(-4 + 3k) = -16
-32 + -8k + (-4 * 6 + 3k * 6) = -16
-32 + -8k + (-24 + 18k) = -16

Reorder the terms:
-32 + -24 + -8k + 18k = -16

Combine like terms: -32 + -24 = -56
-56 + -8k + 18k = -16

Combine like terms: -8k + 18k = 10k
-56 + 10k = -16

Solving
-56 + 10k = -16

Solving for variable 'k'.

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

Add '56' to each side of the equation.
-56 + 56 + 10k = -16 + 56

Combine like terms: -56 + 56 = 0
0 + 10k = -16 + 56
10k = -16 + 56

Combine like terms: -16 + 56 = 40
10k = 40

Divide each side by '10'.
k = 4

Simplifying
k = 4

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