5(k+4)-3k=3(k-8)

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Solution for 5(k+4)-3k=3(k-8) equation: 


Simplifying
5(k + 4) + -3k = 3(k + -8)

Reorder the terms:
5(4 + k) + -3k = 3(k + -8)
(4 * 5 + k * 5) + -3k = 3(k + -8)
(20 + 5k) + -3k = 3(k + -8)

Combine like terms: 5k + -3k = 2k
20 + 2k = 3(k + -8)

Reorder the terms:
20 + 2k = 3(-8 + k)
20 + 2k = (-8 * 3 + k * 3)
20 + 2k = (-24 + 3k)

Solving
20 + 2k = -24 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
20 + 2k + -3k = -24 + 3k + -3k

Combine like terms: 2k + -3k = -1k
20 + -1k = -24 + 3k + -3k

Combine like terms: 3k + -3k = 0
20 + -1k = -24 + 0
20 + -1k = -24

Add '-20' to each side of the equation.
20 + -20 + -1k = -24 + -20

Combine like terms: 20 + -20 = 0
0 + -1k = -24 + -20
-1k = -24 + -20

Combine like terms: -24 + -20 = -44
-1k = -44

Divide each side by '-1'.
k = 44

Simplifying
k = 44

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