6-8(7k+5)=21-k

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Solution for 6-8(7k+5)=21-k equation:


Simplifying
6 + -8(7k + 5) = 21 + -1k

Reorder the terms:
6 + -8(5 + 7k) = 21 + -1k
6 + (5 * -8 + 7k * -8) = 21 + -1k
6 + (-40 + -56k) = 21 + -1k

Combine like terms: 6 + -40 = -34
-34 + -56k = 21 + -1k

Solving
-34 + -56k = 21 + -1k

Solving for variable 'k'.

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

Add 'k' to each side of the equation.
-34 + -56k + k = 21 + -1k + k

Combine like terms: -56k + k = -55k
-34 + -55k = 21 + -1k + k

Combine like terms: -1k + k = 0
-34 + -55k = 21 + 0
-34 + -55k = 21

Add '34' to each side of the equation.
-34 + 34 + -55k = 21 + 34

Combine like terms: -34 + 34 = 0
0 + -55k = 21 + 34
-55k = 21 + 34

Combine like terms: 21 + 34 = 55
-55k = 55

Divide each side by '-55'.
k = -1

Simplifying
k = -1

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