-8(2k-7)=-4(k+4)

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Solution for -8(2k-7)=-4(k+4) equation: 


Simplifying
-8(2k + -7) = -4(k + 4)

Reorder the terms:
-8(-7 + 2k) = -4(k + 4)
(-7 * -8 + 2k * -8) = -4(k + 4)
(56 + -16k) = -4(k + 4)

Reorder the terms:
56 + -16k = -4(4 + k)
56 + -16k = (4 * -4 + k * -4)
56 + -16k = (-16 + -4k)

Solving
56 + -16k = -16 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
56 + -16k + 4k = -16 + -4k + 4k

Combine like terms: -16k + 4k = -12k
56 + -12k = -16 + -4k + 4k

Combine like terms: -4k + 4k = 0
56 + -12k = -16 + 0
56 + -12k = -16

Add '-56' to each side of the equation.
56 + -56 + -12k = -16 + -56

Combine like terms: 56 + -56 = 0
0 + -12k = -16 + -56
-12k = -16 + -56

Combine like terms: -16 + -56 = -72
-12k = -72

Divide each side by '-12'.
k = 6

Simplifying
k = 6

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