-2(2-7k)-2(k-4)=16

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Solution for -2(2-7k)-2(k-4)=16 equation: 


Simplifying
-2(2 + -7k) + -2(k + -4) = 16
(2 * -2 + -7k * -2) + -2(k + -4) = 16
(-4 + 14k) + -2(k + -4) = 16

Reorder the terms:
-4 + 14k + -2(-4 + k) = 16
-4 + 14k + (-4 * -2 + k * -2) = 16
-4 + 14k + (8 + -2k) = 16

Reorder the terms:
-4 + 8 + 14k + -2k = 16

Combine like terms: -4 + 8 = 4
4 + 14k + -2k = 16

Combine like terms: 14k + -2k = 12k
4 + 12k = 16

Solving
4 + 12k = 16

Solving for variable 'k'.

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

Add '-4' to each side of the equation.
4 + -4 + 12k = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 12k = 16 + -4
12k = 16 + -4

Combine like terms: 16 + -4 = 12
12k = 12

Divide each side by '12'.
k = 1

Simplifying
k = 1

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