2(8+2k)=-5(k+4)

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Solution for 2(8+2k)=-5(k+4) equation: 


Simplifying
2(8 + 2k) = -5(k + 4)
(8 * 2 + 2k * 2) = -5(k + 4)
(16 + 4k) = -5(k + 4)

Reorder the terms:
16 + 4k = -5(4 + k)
16 + 4k = (4 * -5 + k * -5)
16 + 4k = (-20 + -5k)

Solving
16 + 4k = -20 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
16 + 4k + 5k = -20 + -5k + 5k

Combine like terms: 4k + 5k = 9k
16 + 9k = -20 + -5k + 5k

Combine like terms: -5k + 5k = 0
16 + 9k = -20 + 0
16 + 9k = -20

Add '-16' to each side of the equation.
16 + -16 + 9k = -20 + -16

Combine like terms: 16 + -16 = 0
0 + 9k = -20 + -16
9k = -20 + -16

Combine like terms: -20 + -16 = -36
9k = -36

Divide each side by '9'.
k = -4

Simplifying
k = -4

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