85=6k+4+(k+5)

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Solution for 85=6k+4+(k+5) equation:


Simplifying
85 = 6k + 4 + (k + 5)

Reorder the terms:
85 = 6k + 4 + (5 + k)

Remove parenthesis around (5 + k)
85 = 6k + 4 + 5 + k

Reorder the terms:
85 = 4 + 5 + 6k + k

Combine like terms: 4 + 5 = 9
85 = 9 + 6k + k

Combine like terms: 6k + k = 7k
85 = 9 + 7k

Solving
85 = 9 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
85 + -7k = 9 + 7k + -7k

Combine like terms: 7k + -7k = 0
85 + -7k = 9 + 0
85 + -7k = 9

Add '-85' to each side of the equation.
85 + -85 + -7k = 9 + -85

Combine like terms: 85 + -85 = 0
0 + -7k = 9 + -85
-7k = 9 + -85

Combine like terms: 9 + -85 = -76
-7k = -76

Divide each side by '-7'.
k = 10.85714286

Simplifying
k = 10.85714286

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