5(4k-4)+8=-6k+6(4K-5)

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Solution for 5(4k-4)+8=-6k+6(4K-5) equation:


Simplifying
5(4k + -4) + 8 = -6k + 6(4K + -5)

Reorder the terms:
5(-4 + 4k) + 8 = -6k + 6(4K + -5)
(-4 * 5 + 4k * 5) + 8 = -6k + 6(4K + -5)
(-20 + 20k) + 8 = -6k + 6(4K + -5)

Reorder the terms:
-20 + 8 + 20k = -6k + 6(4K + -5)

Combine like terms: -20 + 8 = -12
-12 + 20k = -6k + 6(4K + -5)

Reorder the terms:
-12 + 20k = -6k + 6(-5 + 4K)
-12 + 20k = -6k + (-5 * 6 + 4K * 6)
-12 + 20k = -6k + (-30 + 24K)

Reorder the terms:
-12 + 20k = -30 + 24K + -6k

Solving
-12 + 20k = -30 + 24K + -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.
-12 + 20k + 6k = -30 + 24K + -6k + 6k

Combine like terms: 20k + 6k = 26k
-12 + 26k = -30 + 24K + -6k + 6k

Combine like terms: -6k + 6k = 0
-12 + 26k = -30 + 24K + 0
-12 + 26k = -30 + 24K

Add '12' to each side of the equation.
-12 + 12 + 26k = -30 + 12 + 24K

Combine like terms: -12 + 12 = 0
0 + 26k = -30 + 12 + 24K
26k = -30 + 12 + 24K

Combine like terms: -30 + 12 = -18
26k = -18 + 24K

Divide each side by '26'.
k = -0.6923076923 + 0.9230769231K

Simplifying
k = -0.6923076923 + 0.9230769231K

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