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

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


Simplifying
32 + 2k = 8 + 2(8 + -3k)
32 + 2k = 8 + (8 * 2 + -3k * 2)
32 + 2k = 8 + (16 + -6k)

Combine like terms: 8 + 16 = 24
32 + 2k = 24 + -6k

Solving
32 + 2k = 24 + -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.
32 + 2k + 6k = 24 + -6k + 6k

Combine like terms: 2k + 6k = 8k
32 + 8k = 24 + -6k + 6k

Combine like terms: -6k + 6k = 0
32 + 8k = 24 + 0
32 + 8k = 24

Add '-32' to each side of the equation.
32 + -32 + 8k = 24 + -32

Combine like terms: 32 + -32 = 0
0 + 8k = 24 + -32
8k = 24 + -32

Combine like terms: 24 + -32 = -8
8k = -8

Divide each side by '8'.
k = -1

Simplifying
k = -1

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