16-6k=-(k+4)+5k

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Solution for 16-6k=-(k+4)+5k equation:


Simplifying
16 + -6k = -1(k + 4) + 5k

Reorder the terms:
16 + -6k = -1(4 + k) + 5k
16 + -6k = (4 * -1 + k * -1) + 5k
16 + -6k = (-4 + -1k) + 5k

Combine like terms: -1k + 5k = 4k
16 + -6k = -4 + 4k

Solving
16 + -6k = -4 + 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.
16 + -6k + -4k = -4 + 4k + -4k

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

Combine like terms: 4k + -4k = 0
16 + -10k = -4 + 0
16 + -10k = -4

Add '-16' to each side of the equation.
16 + -16 + -10k = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -10k = -4 + -16
-10k = -4 + -16

Combine like terms: -4 + -16 = -20
-10k = -20

Divide each side by '-10'.
k = 2

Simplifying
k = 2

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