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

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


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

Reorder the terms:
4(5 + k) = 2(k + -4)
(5 * 4 + k * 4) = 2(k + -4)
(20 + 4k) = 2(k + -4)

Reorder the terms:
20 + 4k = 2(-4 + k)
20 + 4k = (-4 * 2 + k * 2)
20 + 4k = (-8 + 2k)

Solving
20 + 4k = -8 + 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.
20 + 4k + -2k = -8 + 2k + -2k

Combine like terms: 4k + -2k = 2k
20 + 2k = -8 + 2k + -2k

Combine like terms: 2k + -2k = 0
20 + 2k = -8 + 0
20 + 2k = -8

Add '-20' to each side of the equation.
20 + -20 + 2k = -8 + -20

Combine like terms: 20 + -20 = 0
0 + 2k = -8 + -20
2k = -8 + -20

Combine like terms: -8 + -20 = -28
2k = -28

Divide each side by '2'.
k = -14

Simplifying
k = -14

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