85=6k+5-(k+5)

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Solution for 85=6k+5-(k+5) equation: 


Simplifying
85 = 6k + 5 + -1(k + 5)

Reorder the terms:
85 = 6k + 5 + -1(5 + k)
85 = 6k + 5 + (5 * -1 + k * -1)
85 = 6k + 5 + (-5 + -1k)

Reorder the terms:
85 = 5 + -5 + 6k + -1k

Combine like terms: 5 + -5 = 0
85 = 0 + 6k + -1k
85 = 6k + -1k

Combine like terms: 6k + -1k = 5k
85 = 5k

Solving
85 = 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
85 + -5k = 5k + -5k

Combine like terms: 5k + -5k = 0
85 + -5k = 0

Add '-85' to each side of the equation.
85 + -85 + -5k = 0 + -85

Combine like terms: 85 + -85 = 0
0 + -5k = 0 + -85
-5k = 0 + -85

Combine like terms: 0 + -85 = -85
-5k = -85

Divide each side by '-5'.
k = 17

Simplifying
k = 17

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