-48=-6(2k-8)+8(2-2k)

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Solution for -48=-6(2k-8)+8(2-2k) equation: 


Simplifying
-48 = -6(2k + -8) + 8(2 + -2k)

Reorder the terms:
-48 = -6(-8 + 2k) + 8(2 + -2k)
-48 = (-8 * -6 + 2k * -6) + 8(2 + -2k)
-48 = (48 + -12k) + 8(2 + -2k)
-48 = 48 + -12k + (2 * 8 + -2k * 8)
-48 = 48 + -12k + (16 + -16k)

Reorder the terms:
-48 = 48 + 16 + -12k + -16k

Combine like terms: 48 + 16 = 64
-48 = 64 + -12k + -16k

Combine like terms: -12k + -16k = -28k
-48 = 64 + -28k

Solving
-48 = 64 + -28k

Solving for variable 'k'.

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

Add '28k' to each side of the equation.
-48 + 28k = 64 + -28k + 28k

Combine like terms: -28k + 28k = 0
-48 + 28k = 64 + 0
-48 + 28k = 64

Add '48' to each side of the equation.
-48 + 48 + 28k = 64 + 48

Combine like terms: -48 + 48 = 0
0 + 28k = 64 + 48
28k = 64 + 48

Combine like terms: 64 + 48 = 112
28k = 112

Divide each side by '28'.
k = 4

Simplifying
k = 4

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