4(-3k+8)=-6k+2(5k+8)

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Solution for 4(-3k+8)=-6k+2(5k+8) equation: 


Simplifying
4(-3k + 8) = -6k + 2(5k + 8)

Reorder the terms:
4(8 + -3k) = -6k + 2(5k + 8)
(8 * 4 + -3k * 4) = -6k + 2(5k + 8)
(32 + -12k) = -6k + 2(5k + 8)

Reorder the terms:
32 + -12k = -6k + 2(8 + 5k)
32 + -12k = -6k + (8 * 2 + 5k * 2)
32 + -12k = -6k + (16 + 10k)

Reorder the terms:
32 + -12k = 16 + -6k + 10k

Combine like terms: -6k + 10k = 4k
32 + -12k = 16 + 4k

Solving
32 + -12k = 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.
32 + -12k + -4k = 16 + 4k + -4k

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

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

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

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

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

Divide each side by '-16'.
k = 1

Simplifying
k = 1

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