85=6k+3-(k+5)

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Solution for 85=6k+3-(k+5) equation: 


Simplifying
85 = 6k + 3 + -1(k + 5)

Reorder the terms:
85 = 6k + 3 + -1(5 + k)
85 = 6k + 3 + (5 * -1 + k * -1)
85 = 6k + 3 + (-5 + -1k)

Reorder the terms:
85 = 3 + -5 + 6k + -1k

Combine like terms: 3 + -5 = -2
85 = -2 + 6k + -1k

Combine like terms: 6k + -1k = 5k
85 = -2 + 5k

Solving
85 = -2 + 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 = -2 + 5k + -5k

Combine like terms: 5k + -5k = 0
85 + -5k = -2 + 0
85 + -5k = -2

Add '-85' to each side of the equation.
85 + -85 + -5k = -2 + -85

Combine like terms: 85 + -85 = 0
0 + -5k = -2 + -85
-5k = -2 + -85

Combine like terms: -2 + -85 = -87
-5k = -87

Divide each side by '-5'.
k = 17.4

Simplifying
k = 17.4

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