14-4(2k+4)=2(4-3k)

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Solution for 14-4(2k+4)=2(4-3k) equation:


Simplifying
14 + -4(2k + 4) = 2(4 + -3k)

Reorder the terms:
14 + -4(4 + 2k) = 2(4 + -3k)
14 + (4 * -4 + 2k * -4) = 2(4 + -3k)
14 + (-16 + -8k) = 2(4 + -3k)

Combine like terms: 14 + -16 = -2
-2 + -8k = 2(4 + -3k)
-2 + -8k = (4 * 2 + -3k * 2)
-2 + -8k = (8 + -6k)

Solving
-2 + -8k = 8 + -6k

Solving for variable 'k'.

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

Add '6k' to each side of the equation.
-2 + -8k + 6k = 8 + -6k + 6k

Combine like terms: -8k + 6k = -2k
-2 + -2k = 8 + -6k + 6k

Combine like terms: -6k + 6k = 0
-2 + -2k = 8 + 0
-2 + -2k = 8

Add '2' to each side of the equation.
-2 + 2 + -2k = 8 + 2

Combine like terms: -2 + 2 = 0
0 + -2k = 8 + 2
-2k = 8 + 2

Combine like terms: 8 + 2 = 10
-2k = 10

Divide each side by '-2'.
k = -5

Simplifying
k = -5

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