4(8-3k)=32-8(k+2)

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Solution for 4(8-3k)=32-8(k+2) equation: 


Simplifying
4(8 + -3k) = 32 + -8(k + 2)
(8 * 4 + -3k * 4) = 32 + -8(k + 2)
(32 + -12k) = 32 + -8(k + 2)

Reorder the terms:
32 + -12k = 32 + -8(2 + k)
32 + -12k = 32 + (2 * -8 + k * -8)
32 + -12k = 32 + (-16 + -8k)

Combine like terms: 32 + -16 = 16
32 + -12k = 16 + -8k

Solving
32 + -12k = 16 + -8k

Solving for variable 'k'.

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

Add '8k' to each side of the equation.
32 + -12k + 8k = 16 + -8k + 8k

Combine like terms: -12k + 8k = -4k
32 + -4k = 16 + -8k + 8k

Combine like terms: -8k + 8k = 0
32 + -4k = 16 + 0
32 + -4k = 16

Add '-32' to each side of the equation.
32 + -32 + -4k = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -4k = 16 + -32
-4k = 16 + -32

Combine like terms: 16 + -32 = -16
-4k = -16

Divide each side by '-4'.
k = 4

Simplifying
k = 4

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