84=7k+3-(k+5)

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Solution for 84=7k+3-(k+5) equation: 


Simplifying
84 = 7k + 3 + -1(k + 5)

Reorder the terms:
84 = 7k + 3 + -1(5 + k)
84 = 7k + 3 + (5 * -1 + k * -1)
84 = 7k + 3 + (-5 + -1k)

Reorder the terms:
84 = 3 + -5 + 7k + -1k

Combine like terms: 3 + -5 = -2
84 = -2 + 7k + -1k

Combine like terms: 7k + -1k = 6k
84 = -2 + 6k

Solving
84 = -2 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
84 + -6k = -2 + 6k + -6k

Combine like terms: 6k + -6k = 0
84 + -6k = -2 + 0
84 + -6k = -2

Add '-84' to each side of the equation.
84 + -84 + -6k = -2 + -84

Combine like terms: 84 + -84 = 0
0 + -6k = -2 + -84
-6k = -2 + -84

Combine like terms: -2 + -84 = -86
-6k = -86

Divide each side by '-6'.
k = 14.33333333

Simplifying
k = 14.33333333

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